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The bifurcation and exact travelling wave solutions of \((1 + 2)\)-dimensional nonlinear Schrödinger equation with dual-power law nonlinearity. (English) Zbl 1242.35082

Summary: By using the method of dynamical systems, this paper researches the bifurcation and the exact traveling wave solutions for a \((1 + 2)\)-dimensional nonlinear Schrödinger equation with dual-power law nonlinearity. Exact parametric representations of all wave solutions are given.

MSC:

35C07 Traveling wave solutions
35Q55 NLS equations (nonlinear Schrödinger equations)
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