Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4628538 | Applied Mathematics and Computation | 2013 | 7 Pages |
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.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
E.L. Aero, A.N. Bulygin, Yu.V. Pavlov,