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The First Integral Method to the Nonlinear Schrodinger Equations in Higher Dimensions
2013
Abstract and Applied Analysis
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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
doi:10.1155/2013/349173
fatcat:yem7g6mpazechknlkzp4hojgby