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Wang, Mingliang; Li, Xiangzheng; Zhang, Jinliang

Sub-ODE method and solitary wave solutions for higher order nonlinear Schrödinger equation. (English) Zbl 1197.81129

Phys. Lett., A 363, No. 1-2, 96-101 (2007).
Summary: With the aid of an ordinary differential equation (ODE) involving an arbitrary positive power of dependent variable and its various positive solutions, three types of solitary wave solution of the higher order nonlinear Schrödinger equation (NLSE) with non-Kerr terms have been found out, which are the bell type solitary waves, the kink type solitary waves and the algebraic solitary waves, provided that the coefficients of the higher order NLSE satisfy certain constraint conditions.

Cited in 32 Documents

MSC:

81Q05 Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics
35Q55 NLS equations (nonlinear Schrödinger equations)
35Q51 Soliton equations

Keywords:

higher order nonlinear Schrödinger equation; sub-ODE; Bell type solitary waves; kink type solitary waves; algebraic solitary waves

Software:

RATH
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\textit{M. Wang} et al., Phys. Lett., A 363, No. 1--2, 96--101 (2007; Zbl 1197.81129)
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References:

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