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Explicit wave solutions and qualitative analysis of the \((1+2)\)-dimensional nonlinear Schrödinger equation with dual-power law nonlinearity - MaRDI portal

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
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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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