• Coupled Higgs field equation and Hamiltonian amplitude equation: Lie classical approach and $(G'/G)$-expansion method

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    • Keywords

       

      Lie classical method; the $(G'/G)$-expansion method; travelling wave solutions; coupled Higgs equation; Hamiltonian amplitude equation.

    • Abstract

       

      In this paper, coupled Higgs field 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 methodc, 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.

    • Author Affiliations

       

      Sachin Kumar1 K Singh2 R K Gupta1

      1. School of Mathematics and Computer Applications, Thapar University, Patiala 147 004, India
      2. Department of Mathematics, Jaypee University of Information Technology, Waknaghat, Distt. Solan 173 234, India
    • Dates

       
  • Pramana – Journal of Physics | News

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