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Approximate solution to a soliton for a nonlinear generalized LGH equation. (Chinese. English summary) Zbl 1199.35230
Summary: A class of nonlinear generalized Landau-Ginzburg-Higgs (LGH) equations is considered by using the homotopic mapping method. The problem of solving the soliton solution for the corresponding equation translates into the problem of mapping transform by introducing a homotopic transform. Then an approximate solution to the soliton for the original equation is obtained using the behavior of the homotopic mapping.
MSC:
35L70 Second-order nonlinear hyperbolic equations
35A35 Theoretical approximation in context of PDEs
35Q51 Soliton equations
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