Professor Nail Akhmediev 
Selected Publications
 

BOOK:

Akhmediev N. N. and Ankiewicz A., Solitons, Nonlinear Pulses and beams, Chapman and Hall, London, 1997.

INVITED PAPERS, REVIEWS and PAPERS in SPECIAL ISSUES:

Akhmediev N. N. "Deja vu in optics", Nature, Vol.413, No 6853, pp. 267-268 (2001).

Akhmediev N. and Ankiewicz A., Solitons of the Complex Ginzburg-Landau Equation, Chapter in book: Spatial Solitons 1, Ed. by S. Trillo and W. E. Toruellas, Springer, Berlin, 2001, pp.311-342.

Akhmediev N. and Ankiewicz A., Multi-Soliton Complexes, Invited paper in Focus Issue of CHAOS on ``OPTICAL SOLITONS'', CHAOS, Vol.10, 600-612 (2000).

S. T. Cundiff, B. C. Collings, N. N. Akhmediev, J. M. Soto-Crespo, K. Bergman, W. H. Knox, Polarization-locked temporal vector solitons in an optical fiber Optics and Photonics News, Vol. 10, No 12, pp. 42--43, Special Issue "Optics in 1999", (1999).

N. Akhmediev and Ankiewicz A., Theoretical Aspects of Incoherent solitons, Overview, Photonics Science News, Vol.5, No 1, 13 - 18, (1999).

N. N. Akhmediev, W. Krolikowski, A. W. Snyder, Incoherent solitons: New objects in Optics, Australian Optical Society News}, Vol.13, No 1, 7 - 10 (1999).

S. T. Cundiff, B. C. Collings, N. N. Akhmediev, J. M. Soto-Crespo, K. Bergman, W. H. Knox, Polarization-locked temporal vector solitons in an optical fiber, Optics and Photonics News, special issue "Optics in 1999", December 1999.

A. Ankiewicz, N. Akhmediev and P. Winternitz, Singularity analysis, balance equations and soliton solution of nonlocal complex Ginzburg-Landau equation, J. of Engineering Mathematics, special issue on "Applications of Solitons and Symmetries", Vol.36 (1), 11 - 24 (1999).

Akhmediev N. N., Spatial solitons in Kerr and Kerr-like media, Invited Paper, Optical and Quantum Electronics, Vol.30, No 7-10, pp. 535 - 570 (1998).

Akhmediev N. N., and Ankiewicz A., Principles of fast soliton-based non-linear coupled fibre devices, J. EEEA, Special Issue: Information superhighway, Vol.15, No 3, pp. 277 - 288 (1995).

PUBLICATIONS IN REFEREED JOURNALS (before 2003):

2002

S. T. Cundiff, J. M. Soto-Crespo and N. Akhmediev, "Experimental Evidence for Soliton Explosions", Phys. Rev. Lett., 88, No 7, 073903 (2002).

J. M. Soto-Crespo, N. Akhmediev and G. Town, "CW versus pulse regime in a passively mode-locked laser with a fast saturable absorber", Journal of the Optical Society of America B, 19, No 2, 234 - 242 (2002).

N. Akhmediev, F. Zen and P. Chu, "Pulse-pulse interaction in dispersion-managed fiber systems with nonlinear amplifiers", Optics Communications, 201, 217 - 221 (2002).

2001

J. M. Soto-Crespo, N. Akhmediev and K. Chiang, "Simultaneous existence of a multiplicity of stable and unstable solitons in dissipative systems", Phys. Lett. A 291, 115 - 123 (2001).

J. M. Soto-Crespo, N. Akhmediev and G. Town, "Interrelation between various branches of stable solitons in dissipative systems - Conjecture for stability criterion", Optics Communications, 199, 283 - 293 (2001). (2001).

A. A. Sukhorukov, A. Ankiewicz and N. N. Akhmediev, "Multisoliton complexes in a sea of radiation modes", Optics Communications, Vol.195, 293-302 (2001).

N. Akhmediev, J. M. Soto-Crespo, and G. Town, Pulsating solitons, chaotic solitons, period doubling, and pulse coexistence in mode-locked lasers: CGLE approach, Phys. Rev. E, 63, 056602 (2001).

J. A. Besley, P. D. Miller and N. N. Akhmediev, Linear guidance properties of solitonic Y-Junction waveguides, Optical and Quantum Electronics, Vol.33, No 1, 19 - 54 (2001).

2000

B.C.Collings, S.T Cundiff, N. Akhmediev, J. M. Soto-Crespo, K. Bergman and W. H. Knox, "Polarization locked temporal vector solitons in a fiber laser: experiment", J. Opt. Soc. America B, 17, No 3, pp. 354 - 365 (2000).

1999

A. Sukhorukov and N. Akhmediev, "Coherent and incoherent contributions to multisoliton complexes", Physical Review Letters, Vol.83, 4736-4740 (1999).

N. Akhmediev, M. P. Das and A. Vagov, Bose-Einstein Condensation of Atoms with attractive Interaction, International Journal of Modern Physics B, Vol.13, No 5-6, pp. 625 - 631 (1999).

N. Litchinitser, W. Krolikowski, N. Akhmediev and G. Agarwal, "Asymmetric partially coherent solitons in a saturable media", Physical Review E, Vol. 60, pp. 2377 - 2380 (1999).

S. T. Cundiff, B. C. Collings, N. Akhmediev, J. M. Soto-Crespo, K. Bergman and W. H. Knox, "Observation of polarization-locked vector solitons in optical fiber", Physical Review Letters, Vol. 82, No 20, pp. 3988 - 3991, (1999).

M. J. Lederer, B. Luther-Davies, H. H. Tan, C. Jagadish, N. Akhmediev and J. M. Soto-Crespo, "Multi-pulse operation of a Ti: Sapphire Laser mode-locked by an Ion-Implanted Semiconductor Saturable Absorber Mirror", J. Opt. Soc. America B, Vol.16, No 5, pp. 895 - 904 (1999).

D. Artigas, L. Torner and N. Akhmediev, "Dynamics of quadratic soliton excitation", Optics Communication, Vol. 162, pp. 347 - 356 (1999).

N. Akhmediev and A. Ankiewicz, "Partially coherent solitons on a finite background", Phys. Rev. Lett., Vol. 82, pp. 2661 - 2665 (1999).

N. Akhmediev, A. Ankiewicz and R. Grimshaw, "Hamiltonian versus energy diagrams in soliton theory", Phys. Rev. E, Vol. 59, No 5, pp. 6088 - 6096 (1999).

A. Ankiewicz, W. Krolikowski and N. Akhmediev, "Partially coherent solitons of variable shape in a slow Kerr-like medium: Exact solutions", Physical Review E, Vol. 59, pp. 6079 - 6087 (1999).

W. Krolikowski, N. Akhmediev and B. Luther-Davies, "Collision-induced shape transformations of partially coherent solitons", Physical Review E, 59, No 4, 4654 - 4658 (1999).

J. M. Soto-Crespo and N. Akhmediev, "Multisoliton regime of pulse generation by lasers passively mode-locked with a slow saturable absorber", J. Opt. Soc. America B, 16, No 4, pp. 674 - 677, (1999).

1998

Miller P. D. and Akhmediev N. N., "Modal expansions and completeness relations for some time-dependent Schroedinger equations", Physica D 123, No.1-4, pp.513 - 524 (1998).

Kang J. U., Aitchison J. S., Stegeman G. I. and Akhmediev N. N., One-dimensional spatial solitons in AlGaAs waveguides, Optical and Quantum Electronics, 30, No 7-10, pp. 649 - 672 (1998).

Besley J. A., Akhmediev N. N., Miller P. D., Periodic Optical Waveguides: Exact Floquet Theory and Spectral Properties. Studies in applied mathematics, 101, No 4, pp. 343 - 350 (1998).

N. Akhmediev, W. Krolikowski and A. W. Snyder, "Partially coherent solitons of variable shape", Phys. Rev. Lett., 81, No 21, pp. 4632 - 4635 (1998).

A. Ankiewicz and N. Akhmediev, "Moving fronts for complex Ginzburg-Landau equation with Raman term", Physical Review E, 58, No 5, pp. 6723 - 6727 (1998).

Torner L., Mihalache D., Santos M. C. and Akhmediev N.N., Spatial walking solitons in quadratic nonlinear crystals, J. Opt. Soc. America B, 15, No 5, pp. 1476 - 1487 (1998).

Akhmediev N. N., Soto-Crespo J. M., Cundiff S. T., Collings B. C. and Knox W. H., Phase-Locking and periodic evolution of solitons in passively mode-locked fiber lasers with a semiconductor saturable absorber, Optics Letters, 23, No 11, pp. 852 - 854, (1998).

Akhmediev N.N., Lederer M. J. Luther-Davies B. Exact localized solution for nonconservative systems with delayed nonlinear response, Phys. Rev. E, 57, 3664-3667 (1998). (Show)

Akhmediev N. N., Ankiewicz A., Lederer M.J. and Luther-Davies B., Ultra-short pulses generated by mode-locked lasers with either slow or fast saturable absorber response, Optics Lett., 23, 280-282 (1998)

Akhmediev N., Ankiewicz A., Soto-Crespo J. M., Stable soliton pairs in optical transmission lines and fiber lasers, J. Opt. Soc. America B, 15, 515 - 523, (1998).

1997

Artigas, D., Torner, L., Akhmediev, N. N. Asymmetrical splitting of higher-order optical solitons induced by quintic nonlinearity, Optics communications, 143, No 4 / 5 / 6, p. 322 (1997).

J. S. Aitchison, D. C. Hutchings, J. M. Arnold, J. U. Kang, G.I.Stegeman, E. Ostrovskaya and N. Akhmediev, Power-dependent polarization dynamics of mixed-mode spatial solitary waves in AlGaAs waveguides, J. Opt. Soc. America B, 14, No 11, pp. 3032 - 3037 (1997).

Akhmediev,N.N., Ankiewicz A. Soto-Crespo, J.M. Multisoliton solutions of the complex Ginzburg-Landau equation, Phys. Rev. Lett., 79, pp. 4047 - 4050, (1997)

J. A. Besley, N. N. Akhmediev, and P. D. Miller, Modes of periodic waveguides, Optics Letters, 22, No 15, pp. 1162 - 1164 (1997).

J. M. Soto-Crespo, N. N. Akhmediev, V. V. Afanasjev, S. Wabnitz, Pulse solutions of the cubic-quintic complex Ginzburg-Landau equation in the case of normal dispersion, Physical Review E, 55, No 4, pp. 4783 - 4796 (1997).

E. A. Ostrovskaya, N. N. Akhmediev, G. I. Stegeman, J. U. Kang, J. S. Aitchison, Mixed-mode spatial solitons in semiconductor waveguides, J. Opt. Soc. America B,14, No 4, pp. 880 - 887 (1997).

L. Torner, D. Mihalache, D. Mazilu, N. N. Akhmediev, Walking vector solitons, Optics Communications, 138, pp. 105 - 108 (1997).

1996

N. Akhmediev, E.A.Ostrovskaya, Counter-balance of linear and nonlinear optical activity for soliton-like pulses, Optica Applicata, XXVI, No 4, pp. 267 - 273 (1996).

V. V. Afanasjev, N. N. Akhmediev, A new kind of periodic stationary solution of the cubic Ginzburg-Landau equation, Physics A, 233, pp. 801 - 808 (1996).

N. Akhmediev, W. Krolikowski, and A. J. Lowery, Influence of the Raman-effect on solitons in optical fibers, Optics Communications, Vol. 131, No 4/6, pp. 260 - 264 (1996).

W. Krolikowski, N. Akhmediev and B. Luther-Davies, "Effect of natural optical activity on the propagation of photorefractive solitons", Optics Communications, Vol. 132, No 1/2, pp. 179 - 184 (1996).

Akhmediev N.N., " Optical memory based on the long-term photon echo phenomenon", J. Luminescence, 66,67, pp. 74 - 77 (1996).

W. Krolikowski, N. N. Akhmediev and M. Cronin-Golomb, "Self-bending photorefractive solitons", Physical Review E, Vol. 54, No 5, pp. 5761 - 5764 (1996). (Show).

J. M. Soto-Crespo, V. V. Afanasjev, N. N. Akhmediev, and G. E. Town, Dual-frequency pulses in fiber lasers, Optics Communications, 130, pp. 245 - 248 (1996).

A. Ankiewicz and N. N. Akhmediev, Analysis of bifurcations for parabolic nonlinearity optical couplers, Optics Communications, 124, pp. 95 - 102 (1996).

N. N. Akhmediev, and E. A. Ostrovskaya, Elliptically polarized spatial solitons in cubic gyrotrpopic materials, Optics Communications, 132, pp. 190 - 204 (1996).

N. N. Akhmediev, V. V. Afanasjev and J. M. Soto-Crespo, Singularities and special soliton solutions of the cubic-quintic complex Ginzburg-Landau equation. Physical Review E, 53, No 1, pp. 1190 - 1201 (1996). (Show)

P. D. Miller, N. N. Akhmediev, Transfer matrices for multiport devices made from solitons, Physical Review E, 53, No 4, 4098 - 4106, (1996).

P.D.Miller, N. N. Akhmediev, Do solitons exchange conserved quantities during collisions?, Phys. Rev. Lett., 76, No 1, pp. 38 - 41, (1996).

V. V. Afanasjev, N. N. Akhmediev, and J. M. Soto-Crespo, Three forms of localized solutions of the quintic complex Ginzburg-Landau equation, Physical Review E, 53, No 2, pp. 1931 - 1939 (1996).

J. U. Kang, G.I.Stegeman, J.S.Aitchison, N. N. Akhmediev, Observation of Manakov spatial solitons in AlGaAs planar waveguides, Physical Review Letters, 76, No 20, pp. 3699 - 3702 (1996).

W. Kr\'olikowski, N. N. Akhmediev and B. Luther-Davies, Multimode structure of bright and dark vector solitons in photorefractive media, Optics Letters, 21, No 11, pp. 782 - 784 (1996).

V. Tikhonenko and N. N. Akhmediev, Excitation of vortex solitons in a Gaussian beam configuration, Optics Communications, 21, pp. 108 - 112 (1996).

V. V. Afanasjev and N. Akhmediev, Soliton interaction in nonequilibrium dynamical systems, Physical Review E, 53, No 6, pp. 6471 - 6475 (1996). (Download)

J. M. Soto-Crespo, N. Akhmediev and V. V. Afanasjev, Stability of the pulselike solutions of the quintic complex Ginzburg-Landau equation, J. Opt. Soc. America B, 13, No 7, pp. 1439 - 1449 (1996).

P. D. Miller, N. N. Akhmediev and A. Ankiewicz, Optical Conveyor belts: a new scheme for fiber communications, Optics Letters, 21, No 15, pp. 1132 - 1134 (1996).

1995

N. N. Akhmediev, and V. V. Afanasjev, Novel arbitrary-amplitude soliton solutions of the cubic-quintic complex Ginzburg-Landau equation, Physical Review Letters, 75, No 12, pp. 2320 - 2323 (1995). (Show)

N. N. Akhmediev, and A. V. Buryak, Interactions of solitons with oscillating tails, Optics Communications, 121, pp. 109 - 114 (1995).

V. V. Afanasjev and N. N. Akhmediev, Soliton interaction and bound states in amplified-damped fiber systems, Optics Letters, 20, No 19, pp. 1970 - 1972 (1995).

J. M. Soto-Crespo, N. N. Akhmediev and V. V. Afanasjev, Algebraic pulse-like solutions of the quintic complex Ginzburg - Landau equation, Optics Communications, 118, 587 - 593 (1995).

L. Torner, D. Mihalache, D. Mazilu and N. N. Akhmediev, Stability of spatial solitary waves in quadratic media, Optics Letters, 20, No 21, pp. 2183 - 2185 (1995).

A. Ankiewicz, N.N.Akhmediev, J. M. Soto-Crespo, Novel bifurcation phenomena for solitons in nonlinear saturable couplers, Optics Communications, 116, 411 (1995).

A. V. Buryak and N.Akhmediev, "Stability criterion for stationary bound states of solitons with radiationless oscillating tales". Physical Review E, 51, No 4, pp.3572 - 3578 (1995).

J. M. Soto-Crespo, N. Akhmediev and A. Ankiewicz, "Soliton propagation in optical devices with two-component fields: a comparative study", J. Opt. Soc. America B, 12, No 6, 1100-1109, (1995).

N. Akhmediev, A. V. Buryak, J. M. Soto-Crespo and D. R. Andersen, "Phase-locked stationary soliton states in birefringent nonlinear optical fibers", J. Opt. Soc. America B, 12, No. 3, pp 434 - 439, (1995).

N. Akhmediev and M. Karlsson, "Cherenkov radiation emitted by solitons in optical fibers", Physical Review A, 51, No 3, pp. 2602 - 2607 (1995).

J. M. Soto-Crespo, N. Akhmediev and A. Ankiewicz, "Stationary soliton-like pulses in birefringent optical fibers", Physical Review E, 51, No 4, pp. 3547 - 3555 (1995).

A. V. Buryak and N. Akhmediev, "Stationary pulse propagation in N-core nonlinear fiber arrays", IEEE J. Quantum Electronics, 31, No 4, pp. 682 - 688 (1995).

A. Ankiewicz, N. Akhmediev and G. D. Peng, "Stationary soliton states in couplers with saturable nonlinearity", Optical and Quantum Electronics, 27, pp. 193 - 200 (1995).

N. Akhmediev and A. V. Buryak, "Soliton states and bifurcations in periodically twisted birefringent fiber filters", Optics Communications, Vol. 113, pp. 505 - 508 (1995).

Before 1995

N. Akhmediev and N. V. Mitskevich, "Extremely high degree of N-soliton pulse compression in an optical fiber". IEEE J. Quantum Electron., QE-27, No 3, 849-857 (1991).

N. Akhmediev, V. M. Eleonskii and N. E. Kulagin, "An example of a dynamical system connected with the nonlinear Schrodinger equation", Selecta Mathematica Sovietica (Boston, Mass., Birkhauser) 10, No 1, 55 (1991).

N. Akhmediev, "Information erasing in the phenomenon of long-lived photon echo", Optics Letters, 15, No 18, pp. 1035-1037 (1990).

N. Akhmediev, D. R. Heatley, G. I. Stegeman and E. M. Wright, "Pseudorecurrence in two-dimensional modulation instability with a saturable self-focusing nonlinearity", Phys. Rev. Lett. 65, No 12, 1423-1426 (1990).

N. Akhmediev, V. I. Korneev, and N. V. Mitskevich, "N-modulation signals in a single mode optical waveguide under nonlinear conditions", Sov. Phys. JETP , 67,(1), 89-95 (1988). Translated from Russian Zh. Eksp. Teor. Fiz., 94, 159-170 (1988).

N. Akhmediev, V. M. Eleonskii and N. E. Kulagin"Exact first order solutions of the nonlinear Schodinger equation", Theor. Math. Phys. (USSR) , 72, 809-818 (1988). Translated from Teor. Mat. Fiz., 72, No 2, 183-196 (1987).

N. Akhmediev and V. I. Korneev, "Modulation instability and periodic solutions of the nonlinear Schodinger equation", Theor. Math. Phys. (USSR) , 69, 1089-1093 (1987). Translated from Teor. Mat. Fiz., 69, No 2, 189-194 (1986).

N. Akhmediev, "Novel class of nonlinear surface waves: asymmetric modes in a symmetric layered structure", Sov. Phys. JETP, 56 , 299-303 (1982).

N. Akhmediev, V. M. Eleonskii and N. E. Kulagin, "Generation of of a periodic sequence of picosecond pulses in an optical fiber. Exact solutions", Sov. Phys. JETP, 89 , 1542-1551 (1985) [in Russian].