期刊
PRAMANA-JOURNAL OF PHYSICS
卷 79, 期 1, 页码 41-60出版社
INDIAN ACAD SCIENCES
DOI: 10.1007/s12043-012-0284-7
关键词
Lie classical method; the (G '/G)-expansion method; travelling wave solutions; coupled Higgs equation; Hamiltonian amplitude equation
In this paper, coupled Higgs field equation and Hamiltonian amplitude equation are studied using the Lie classical method. Symmetry reductions and exact solutions are reported for Higgs equation and Hamiltonian amplitude equation. We also establish the travelling wave solutions involving parameters of the coupled Higgs equation and Hamiltonian amplitude equation using (G'/G)-expansion method, where G = G(xi) satisfies a second-order linear ordinary differential equation (ODE). The travelling wave solutions expressed by hyperbolic, trigonometric and the rational functions are obtained.
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