Radiation of solitons described by a high-order cubic nonlinear Schrodinger equation
作者： V. I. Karpman
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摘要: The resonant radiation of solitons due to higher order dispersion, described by an extended nonlinear Schr\"odinger (NLS) equation with (cubic) dispersive terms and linear third fourth derivatives, is studied. basic includes, as a particular case, derivative NLS equation. General properties the master equation, such conservation laws, Hamiltonian structures (in important cases), Galilei transformation are Explicit asymptotic expressions, describing at different initial conditions, derived. obtained results, in particular, provide basis for study soliton losses, caused radiation, optical fibers.
sci-hub.se 参考文章(13)
V.I. Karpman, Evolution of solitons described by higher-order nonlinear Schrödinger equations Physics Letters A. ,vol. 244, pp. 397- 400 ,(1998) , 10.1016/S0375-9601(98)00251-5
V.I. Karpman, A.G. Shagalov, Evolution of solitons described by the higher-order nonlinear Schrödinger equation. II. Numerical investigation Physics Letters A. ,vol. 254, pp. 319- 324 ,(1999) , 10.1016/S0375-9601(99)00124-3
David J. Kaup, Alan C. Newell, An exact solution for a derivative nonlinear Schrödinger equation Journal of Mathematical Physics. ,vol. 19, pp. 798- 801 ,(1978) , 10.1063/1.523737
H H Chen, Y C Lee, C S Liu, Integrability of Nonlinear Hamiltonian Systems by Inverse Scattering Method Physica Scripta. ,vol. 20, pp. 490- 492 ,(1979) , 10.1088/0031-8949/20/3-4/026
Ryogo Hirota, Exact envelope‐soliton solutions of a nonlinear wave equation Journal of Mathematical Physics. ,vol. 14, pp. 805- 809 ,(1973) , 10.1063/1.1666399
Narimasa Sasa, Junkichi Satsuma, New-Type of Soliton Solutions for a Higher-Order Nonlinear Schrödinger Equation Journal of the Physical Society of Japan. ,vol. 60, pp. 409- 417 ,(1991) , 10.1143/JPSJ.60.409
V. I. Karpman, Radiation by solitons due to higher-order dispersion. Physical Review E. ,vol. 47, pp. 2073- 2082 ,(1993) , 10.1103/PHYSREVE.47.2073
V. E. Zakharov, E. A. Kuznetsov, Optical solitons and quasisolitons Journal of Experimental and Theoretical Physics. ,vol. 86, pp. 1035- 1046 ,(1998) , 10.1134/1.558551
VI Karpman, None, Modification of Langmuir solitons due to ion sound dispersion Physics of Plasmas. ,vol. 5, pp. 932- 937 ,(1998) , 10.1063/1.872928
V. I. Karpman, Erratum: “Modification of Langmuir solitons due to ion sound dispersion” [Phys. Plasmas 5, 932 (1998)] Physics of Plasmas. ,vol. 5, pp. 2821- 2821 ,(1998) , 10.1063/1.872973