New exact complex travelling wave solutions to nonlinear Schrödinger (NLS) equation. (English) Zbl 1221.35405

Summary: Two improved direct algebraic methods for constructing exact complex travelling wave solutions of nonlinear partial differential equations are presented. These improved methods are applied to NLS equation, and then new types exact complex solutions are obtained.


35Q55 NLS equations (nonlinear Schrödinger equations)
35C05 Solutions to PDEs in closed form
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