Generalized Kudryashov method for solving some (3+1)-dimensional nonlinear evolution equations
Journal: NEW TRENDS IN MATHEMATICAL SCIENCES (Vol.3, No. 3)Publication Date: 2015-09-01
Authors : Shafiqul Islam; Kamruzzaman Khan; Ahmed .H Arnous;
Page : 46-57
Keywords : Generalized Kudryashov method JM equation KP equation ZK equation exact solution NLEEs.;
Abstract
In this work, we have applied the generalized Kudryashov methods to obtain the exact travelling wave solutions for the (3+1)-dimensional Jimbo-Miwa (JM) equation, the (3+1)-dimensional Kadomtsev-Petviashvili (KP) equation and the (3+1)-dimensional Zakharov-Kuznetsov (ZK). The attained solutions show distinct physical configurations. The constraints that will guarantee the existence of specific solutions will be investigated. These solutions may be useful and desirable for enlightening specific nonlinear physical phenomena in genuinely nonlinear dynamical systems.
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