Article ID Journal Published Year Pages File Type
4628538 Applied Mathematics and Computation 2013 7 Pages PDF
Abstract

For the first time functionally invariant solutions U(x,y,z,t)U(x,y,z,t) of nonlinear Klein–Fock–Gordon equation are obtained. Solutions are found in the form of composite function U=f(W)U=f(W). Function f(W)f(W) satisfies to the ordinary nonlinear differential equation of the second order, and W(x,y,z,t)W(x,y,z,t) contains arbitrary function F(α)F(α). Ansatz α(x,y,z,t)α(x,y,z,t) is found from the algebraic equations. The examples for αα are given. Proposed approach is illustrated by the solution of sine–Gordon equation.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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