Travelling wave solution for the Landau-Ginburg-Higgs model via the inverse scattering transformation method
نویسندگان
چکیده
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 Ablowitz-Kaup-Newell-Segur (AKNS) formalism, integrability LGH is proved by deriving Lax pair. Hence that, inverse scattering transformation (IST) applied, travelling wave solutions are obtained graphically represented 2d 3d profiles.
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ژورنال
عنوان ژورنال: Nonlinear Dynamics
سال: 2023
ISSN: ['1573-269X', '0924-090X']
DOI: https://doi.org/10.1007/s11071-022-08224-6