New Exact Solutions of Landau-Ginzburg-Higgs Equation Using Power Index Method
Khalil Ahmad, Khudija Bibi, Muhammad Shoaib Arif, Kamaleldin Abodayeh
Abstract
In the present study, the optimality approach is applied to find the exact solution of the Landau-Ginzburg-Higgs Equation (LGHE) using new transformations. This method is a direct algebraic method for obtaining exact solutions of nonlinear differential equations. We find suitable solutions of the LGHE in terms of elliptic Jacobi functions by applying transformations of basic functions. Exact solutions of the equations are obtained with the help of symbolic software (Maple) which allows the computation of equations with parameter constants. It is exposed that PIM is influential, suitable, and shortest and offers an exact solution of LGHE.
Topics & Concepts
Higgs bosonSymbolic computationExact solutions in general relativityElliptic functionMathematicsMapleNonlinear systemApplied mathematicsComputationJacobi elliptic functionsDifferential equationElliptic integralMathematical analysisPhysicsAlgorithmQuantum mechanicsBiologyBotanyNonlinear Waves and SolitonsNonlinear Photonic SystemsFractional Differential Equations Solutions