The hierarchy of multi-soliton solutions of the derivative nonlinear Schrödinger equation
暂无分享,去创建一个
[1] Susumu Takeda,et al. Modified Nonlinear Schrödinger Equation for Alfvén Waves Propagating along the Magnetic Field in Cold Plasmas , 1975 .
[2] Yi Xiao. Note on the Darboux transformation for the derivative nonlinear Schrodinger equation , 1991 .
[3] Kenji Imai,et al. Generalization of the Kaup-Newell Inverse Scattering Formulation and Darboux Transformation , 1999 .
[4] M. Ruderman,et al. DNLS equation for large-amplitude solitons propagating in an arbitrary direction in a high-β Hall plasma , 2002, Journal of Plasma Physics.
[5] C. Kennel,et al. Stability and bifurcation of quasiparallel Alfven solitons , 1992 .
[6] K. Spatschek,et al. Filamentation of lower-hybrid cones , 1978 .
[7] H. Eichhorn. Bäcklund Transformation and N-Soliton Solution for the Generalized Nonlinear Schrödinger Equation , 1987 .
[8] David J. Kaup,et al. An exact solution for a derivative nonlinear Schrödinger equation , 1978 .
[9] M. Crum. ASSOCIATED STURM-LIOUVILLE SYSTEMS , 1999, physics/9908019.
[10] Hiroshi Inoue,et al. Exact Solutions of the Derivative Nonlinear Schrödinger Equation under the Nonvanishing Conditions , 1978 .
[11] Narkis Tzoar,et al. Self-phase modulation in long-geometry optical waveguides , 1981 .
[12] H. Steudel,et al. Vandermonde-like determinants and N-fold Darboux/Bäcklund transformations , 1997 .
[13] R. Meinel,et al. General N-soliton solution of the AKNS class on arbitrary background , 1984 .
[14] F. Lederer,et al. FORMATION OF SOLITONS ON THE SHARP FRONT OF THE PULSE IN AN OPTICAL FIBER , 1998 .
[15] A. Kamchatnov. On improving the effectiveness of periodic solutions of the NLS and DNLS equations , 1990 .
[16] E. Mjølhus,et al. On the modulational instability of hydromagnetic waves parallel to the magnetic field , 1976, Journal of Plasma Physics.
[17] E. Mjølhus. Nonlinear Alfvén waves and the DNLS equation: oblique aspects , 1989 .
[18] L. Chambers. Linear and Nonlinear Waves , 2000, The Mathematical Gazette.
[19] Kimiaki Konno,et al. Spiky Soliton in Circular Polarized Alfvén Wave , 1979 .
[20] P. Kulish,et al. Quadratic bundle and nonlinear equations , 1980 .
[21] V. Matveev,et al. Darboux Transformations and Solitons , 1992 .
[22] A Kundu,et al. Explicit auto-Backlund relation through gauge transformation , 1987 .
[23] Akira Nakamura,et al. Multi-Soliton Solutions of a Derivative Nonlinear Schrödinger Equation , 1980 .
[24] N-soliton solutions for second-harmonic generation with account of the Kerr effect , 2001 .
[25] Nakao Hayashi,et al. On the derivative nonlinear Schro¨dinger equation , 1992 .
[26] D. Levi,et al. Bäcklund transformation vs. the dressing method , 1982 .
[27] Dan Anderson,et al. Nonlinear asymmetric self-phase modulation and self-steepening of pulses in long optical waveguides , 1983 .
[28] A. M. Kamchatnov,et al. New approach to periodic solutions of integrable equations and nonlinear theory of modulational instability , 1997 .