Exact Solutions for Nonlinear Differential Difference Equations in Mathematical Physics | Zendy

Khaled A. Gepreel | Zendy; Taher A. Nofal | Zendy; Fawziah M. Alotaibi | Zendy

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Exact Solutions for Nonlinear Differential Difference Equations in Mathematical Physics

Author(s) -

Khaled A. Gepreel,

Taher A. Nofal,

Fawziah M. Alotaibi

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 - 10.1155/2013/756896

Subject(s) - mathematics , nonlinear system , differential equation , mathematical analysis , quintic function , nonlinear schrödinger equation , lattice (music) , split step method , schrödinger equation , toda lattice , rational function , physics , quantum mechanics , acoustics , integrable system

We modified the truncated expansion method to construct the exact solutions for some nonlinear differential difference equations in mathematical physics via the general lattice equation, the discrete nonlinear Schrodinger with a saturable nonlinearity, the quintic discrete nonlinear Schrodinger equation, and the relativistic Toda lattice system. Also, we put a rational solitary wave function method to find the rational solitary wave solutions for some nonlinear differential difference equations. The proposed methods are more effective and powerful to obtain the exact solutions for nonlinear difference differential equations

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