Interactions of bright solitons for the (2+1)-dimensional coupled nonlinear Schrödinger equations from optical fibres with symbolic computation
暂无分享,去创建一个
Bo Tian | Tao Xu | Xiang-Hua Meng | Hai-Qiang Zhang | Tao Xu | Xiang-Hua Meng | B. Tian | Hai-Qiang Zhang | Li-Li Li | Li-Li Li
[1] J. Gordon,et al. Wavelength division multiplexing with solitons in ultra-long distance transmission using lumped amplifiers , 1990 .
[2] Curtis R. Menyuk,et al. Pulse propagation in an elliptically birefringent Kerr medium , 1989 .
[3] Kaup Dj,et al. Soliton trapping and daughter waves in the Manakov model. , 1993 .
[4] Bo Tian,et al. Transformations for a generalized variable-coefficient Korteweg de Vries model from blood vessels, Bose Einstein condensates, rods and positons with symbolic computation , 2006 .
[5] P. Clarkson,et al. Nonclassical Reductions of a 3+1-Cubic Nonlinear Schrodinger System , 1998 .
[6] Govind P. Agrawal,et al. Nonlinear Fiber Optics , 1989 .
[7] S. C. Tsang,et al. The evolution of periodic waves of the coupled nonlinear Schrödinger equations , 2004, Math. Comput. Simul..
[8] M. Lakshmanan,et al. Shape changing collisions of optical solitons, universal logic gates and partially coherent solitons in coupled nonlinear Schrödinger equations , 2001 .
[9] L. Gagnon. Self-similar solutions for a coupled system of nonlinear Schrodinger equations , 1992 .
[10] R. Hirota,et al. N-Soliton Solutions of Model Equations for Shallow Water Waves , 1976 .
[11] R. Hirota. Exact envelope‐soliton solutions of a nonlinear wave equation , 1973 .
[12] Neal B. Abraham,et al. Overview of transverse effects in nonlinear-optical systems , 1990 .
[13] M Lakshmanan,et al. Exact soliton solutions, shape changing collisions, and partially coherent solitons in coupled nonlinear Schrödinger equations. , 2001, Physical review letters.
[14] Ueda,et al. Dynamics of coupled solitons in nonlinear optical fibers. , 1990, Physical review. A, Atomic, molecular, and optical physics.
[15] Luc Bergé,et al. Wave collapse in physics: principles and applications to light and plasma waves , 1998 .
[16] K Steiglitz,et al. Time-gated Manakov spatial solitons are computationally universal. , 2000, Physical review. E, Statistical, nonlinear, and soft matter physics.
[17] Bo Tian,et al. Variable-coefficient higher-order nonlinear Schrödinger model in optical fibers: New transformation with burstons, brightons and symbolic computation , 2006 .
[18] William L. Kath,et al. Dynamics of optical pulses in randomly birefringent fibers , 1992 .
[19] Thiab R. Taha,et al. Numerical simulation of coupled nonlinear Schrödinger equation , 2001 .
[20] K. Steiglitz,et al. Energy-Exchange Interactions between Colliding Vector Solitons , 1999 .
[21] M. Ablowitz,et al. Multisoliton interactions and wavelength-division multiplexing. , 1995, Optics letters.
[22] J. Juul Rasmussen,et al. Blow-up in Nonlinear Schroedinger Equations-I A General Review , 1986 .
[23] Jarmo Hietarinta,et al. Inelastic Collision and Switching of Coupled Bright Solitons in Optical Fibers , 1997, solv-int/9703008.
[24] Periodic solutions for systems of coupled nonlinear Schrödinger equations with three and four components. , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.
[25] Hidetsugu Sakaguchi,et al. Two-dimensional solitons in the Gross-Pitaevskii equation with spatially modulated nonlinearity. , 2006, Physical review. E, Statistical, nonlinear, and soft matter physics.
[26] Bo Tian,et al. On the solitonic structures of the cylindrical dust-acoustic and dust-ion-acoustic waves with symbolic computation , 2005 .
[27] K. Porsezian,et al. Optical solitons : theoretical and experimental challenges , 2003 .
[28] R. W. Terhune,et al. Study of Optical Effects Due to an Induced Polarization Third Order in the Electric Field Strength , 1965 .
[29] Bo Tian,et al. Symbolic-computation study of the perturbed nonlinear Schrodinger model in inhomogeneous optical fibers [rapid communication] , 2005 .
[30] F. T. Hioe. SOLITARY WAVES FOR TWO AND THREE COUPLED NONLINEAR SCHRODINGER EQUATIONS , 1998 .
[31] P W Smith,et al. Experimental observation of spatial soliton interactions. , 1991, Optics letters.
[32] Bo Tian,et al. Cylindrical Kadomtsev–Petviashvili model, nebulons and symbolic computation for cosmic dust ion-acoustic waves , 2006 .
[33] Yuri S. Kivshar,et al. Optical Solitons: From Fibers to Photonic Crystals , 2003 .
[34] Akira Hasegawa,et al. Optical solitons in fibers , 1993, International Commission for Optics.
[35] Alexander M. Rubenchik,et al. Soliton stability in plasmas and hydrodynamics , 1986 .
[36] Bo Tian,et al. Transformations for a generalized variable-coefficient nonlinear Schrödinger model from plasma physics, arterial mechanics and optical fibers with symbolic computation , 2005 .
[37] B. Tian,et al. Macropterons, micropterons and similarity reductions for the regularized Ostrovsky-Grimshaw model for fluids and plasmas with symbolic computation , 2006 .
[38] Boris A. Malomed,et al. Transition to miscibility in a binary Bose–Einstein condensate induced by linear coupling , 2005 .
[39] Bo Tian,et al. Symbolic computation on integrable properties of a variable-coefficient Korteweg–de Vries equation from arterial mechanics and Bose–Einstein condensates , 2007 .
[40] M. Shalaby,et al. Experimental observation of spatial soliton interactions with a pi/2 relative phase difference. , 1992, Optics letters.
[41] Y. Kivshar,et al. Vector solitons in (2 + 1) dimensions. , 1999, Optics letters.
[42] Segev,et al. Composite multihump vector solitons carrying topological charge , 2000, Physical review letters.
[43] V. M. Petnikova,et al. Multicomponent photorefractive cnoidal waves: stability, localization, and soliton asymptotics. , 1999 .
[44] M Lakshmanan,et al. Soliton collisions with shape change by intensity redistribution in mixed coupled nonlinear Schrödinger equations. , 2006, Physical review. E, Statistical, nonlinear, and soft matter physics.
[45] M. Lakshmanan,et al. Bright and dark soliton solutions to coupled nonlinear Schrodinger equations , 1995 .
[46] Bo Tian,et al. Spherical Kadomtsev-Petviashvili equation and nebulons for dust ion-acoustic waves with symbolic computation , 2005 .
[47] R. Hirota. Exact solution of the Korteweg-deVries equation for multiple collision of solitons , 1971 .