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
Full Text: DOI


[1] Ablowitz, M.; Segur, H., Solitons and the inverse scattering transform (1981), SIAM: SIAM Philadelphia · Zbl 0472.35002
[2] Khuri, S. A., A complex tanh-function method applied to nonlinear equations of Schrödinger type, Chaos Soliton Fract, 20, 1037-1040 (2004) · Zbl 1049.35156
[3] Wazwaz, A. M., Reliable analysis for nonlinear Schrödinger equations with a cubic nonlinearity and a power law nonlinearity, Math Comput Modell, 43, 178-184 (2006) · Zbl 1094.35122
[6] Zhang, H. Q., New exact travelling wave solutions to the generalized Zakharov equations, Report Math Phys, 60, 97-106 (2007) · Zbl 1170.35524
[7] Zhang, H. Q., New exact travelling wave solutions for some nonlinear evolution equations, Chaos Soliton Fract, 26, 921-925 (2005) · Zbl 1093.35057
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