Reliable analysis for nonlinear Schrödinger equations with a cubic nonlinearity and a power law nonlinearity

Authors:
Abdul-Majid Wazwaz
Affiliations:
Department of Mathematics and Computer Science, Saint Xavier University, Chicago, IL 60655, United States
Venue:
Mathematical and Computer Modelling: An International Journal
Year:
2006

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Abstract

The tanh method and the sine-cosine method are effectively used for reliable analysis for the nonlinear Schrodinger equations with cubic and power law nonlinearities. A variety of exact solutions with distinct structures are formally derived for each equation. The study reveals the power of the two proposed algorithms.