Explicit Wave Solutions and Qualitative Analysis of the (1 + 2)-Dimensional Nonlinear Schrödinger Equation with Dual-Power Law Nonlinearity

Qing Meng, Bin He and Zhenyang Li

Advances in Mathematical Physics, 2015, vol. 2015, 1-16

Abstract:

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.

Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlamp:408630

DOI: 10.1155/2015/408630

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