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The First Integral Method to the Nonlinear Schrodinger Equations in Higher Dimensions

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  • Shoukry Ibrahim Atia El-Ganaini

Abstract

The first integral method introduced by Feng is adopted for solving some important nonlinear partial differential equations, including the (2 + 1)-dimensional hyperbolic nonlinear Schrodinger (HNLS) equation, the generalized nonlinear Schrodinger (GNLS) equation with a source, and the higher-order nonlinear Schrodinger equation in nonlinear optical fibers. This method provides polynomial first integrals for autonomous planar systems. Through the established first integrals, exact traveling wave solutions are formally derived in a concise manner.

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  • Shoukry Ibrahim Atia El-Ganaini, 2013. "The First Integral Method to the Nonlinear Schrodinger Equations in Higher Dimensions," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-10, February.
    • Handle: RePEc:hin:jnlaaa:349173
    DOI: 10.1155/2013/349173
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