Journal
PRAMANA-JOURNAL OF PHYSICS
Volume 79, Issue 1, Pages 41-60Publisher
INDIAN ACAD SCIENCES
DOI: 10.1007/s12043-012-0284-7
Keywords
Lie classical method; the (G '/G)-expansion method; travelling wave solutions; coupled Higgs equation; Hamiltonian amplitude equation
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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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