Explicit wave solutions and qualitative analysis of the \((1+2)\)-dimensional nonlinear Schrödinger equation with dual-power law nonlinearity (Q277693)
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scientific article; zbMATH DE number 6575711
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Explicit wave solutions and qualitative analysis of the \((1+2)\)-dimensional nonlinear Schrödinger equation with dual-power law nonlinearity |
scientific article; zbMATH DE number 6575711 |
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Explicit wave solutions and qualitative analysis of the \((1+2)\)-dimensional nonlinear Schrödinger equation with dual-power law nonlinearity (English)
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2 May 2016
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Summary: The \((1+2)\)-dimensional nonlinear Schrödinger equation with dual-power law nonlinearity is studied using the factorization technique, bifurcation theory of dynamical system, and phase portraits analysis. From a dynamic point of view, the existence of smooth solitary wave, and kink and antikink waves is proved and all possible explicit parametric representations of these waves are presented.
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nonlinear Schrödinger equation
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factorization technique
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bifurcation
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phase portraits analysis
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solitary wave
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