Travelling wave solution for the Landau-Ginburg-Higgs model via the inverse scattering transformation method
Mohamed R. Ali, Mahmoud A. Khattab, S. M. Mabrouk
Abstract
Abstract The Landau-Ginzburg-Higgs (LGH) equation explains the ocean engineering models, superconductivity and drift cyclotron waves in radially inhomogeneous plasma for coherent ion-cyclotron waves. In this paper, with a simple modification of the Ablowitz-Kaup-Newell-Segur (AKNS) formalism, the integrability of LGH equation is proved by deriving the Lax pair. Hence for that, the inverse scattering transformation (IST) is applied, and the travelling wave solutions are obtained and graphically represented in 2d and 3d profiles.
Topics & Concepts
Formalism (music)Higgs bosonScatteringCyclotronInverse scattering transformInverseInverse scattering problemTransformation (genetics)PhysicsQuantum electrodynamicsMathematicsMathematical analysisPlasmaQuantum mechanicsGeometryChemistryMusicalGeneBiochemistryVisual artsArtNonlinear Waves and SolitonsOcean Waves and Remote SensingNonlinear Photonic Systems