New exact solutions for seventh‐order Sawada–Kotera–Ito, Lax and Kaup–Kupershmidt equations using Exp‐function method | Zendy

Ganji D. D. | Zendy; Davodi A. G. | Zendy; Geraily Y. A. | Zendy

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New exact solutions for seventh‐order Sawada–Kotera–Ito, Lax and Kaup–Kupershmidt equations using Exp‐function method

Author(s) -

Ganji D. D.,

Davodi A. G.,

Geraily Y. A.

Publication year - 2009

Publication title -

mathematical methods in the applied sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.719

H-Index - 65

eISSN - 1099-1476

pISSN - 0170-4214

DOI - 10.1002/mma.1160

Subject(s) - mathematics , partial differential equation , nonlinear system , korteweg–de vries equation , function (biology) , order (exchange) , differential equation , mathematical analysis , physics , finance , evolutionary biology , economics , biology , quantum mechanics

In this work, Exp‐function method is used to solve three different seventh‐order nonlinear partial differential KdV equations. Sawada–Kotera–Ito, Lax and Kaup–Kupershmidt equations are well known and considered for solve. Exp‐function method can be used as an alternative to obtain analytic and approximate solutions of different types of differential equations applied in engineering mathematics. Ultimately this method is implemented to solve these equations and convenient and effective solutions are obtained. Copyright © 2009 John Wiley & Sons, Ltd.

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