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Application of exp-function method for a class of nonlinear PDE’s arising in mathematical physics. (English) Zbl 1237.65106
Summary: We apply the exp-function method to obtain traveling wave solutions of three nonlinear partial differential equations (PDEs) namely, generalized sinh-Gordon equation, generalized form of the famous sinh-Gordon equation, and double combined sinh-cosh-Gordon equation. These equations play a very important role in mathematical physics and engineering sciences. The exp-function method changes the problem from solving nonlinear PDEs to solving an ordinary differential equation. Mainly we try to present an application of exp-function method taking to consideration rectifying a commonly occurring errors during some of recent works.
MSC:
65M22Solution of discretized equations (IVP of PDE)
35Q35PDEs in connection with fluid mechanics