Generalized Jacobi Elliptic Function Solution to a Class of Nonlinear Schrödinger‐Type Equations | Zendy

Zeid I. A. Al-Muhiameed | Zendy; Emad A.B. AbdelSalam | Zendy

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Generalized Jacobi Elliptic Function Solution to a Class of Nonlinear Schrödinger‐Type Equations

Author(s) -

Zeid I. A. Al-Muhiameed,

Emad A.B. AbdelSalam

Publication year - 2011

Publication title -

mathematical problems in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.262

H-Index - 62

eISSN - 1026-7077

pISSN - 1024-123X

DOI - 10.1155/2011/575679

Subject(s) - elliptic function , mathematics , jacobi elliptic functions , nonlinear system , type (biology) , mathematical analysis , partial differential equation , class (philosophy) , function (biology) , physics , computer science , quantum mechanics , ecology , artificial intelligence , evolutionary biology , biology

With the help of the generalized Jacobi elliptic function, an improved Jacobi elliptic function method is used to construct exact traveling wave solutions of the nonlinear partial differential equations in a unified way. A class of nonlinear Schrodinger-type equations including the generalized Zakharov system, the Rangwala-Rao equation, and the Chen-Lee-Lin equation are investigated, and the exact solutions are derived with the aid of the homogenous balance principle.

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