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

Shoukry ElGanaini | Zendy

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

Author(s) -

Shoukry ElGanaini

Publication year - 2013

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2013/349173

Subject(s) - mathematics , nonlinear system , nonlinear schrödinger equation , partial differential equation , mathematical analysis , split step method , schrödinger equation , polynomial , hyperbolic partial differential equation , planar , physics , quantum mechanics , computer graphics (images) , computer science

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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