Travelling wave solution for the Landau-Ginburg-Higgs model via the inverse scattering transformation method

Faculty Engineering Year: 2023
Type of Publication: ZU Hosted Pages:
Authors:
Samah Mohamed Mabrouk
Journal: Nonlinear Dynamics Springer Netherlands Volume:
Keywords : Travelling wave solution , , Landau-Ginburg-Higgs model , , inverse    
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.
    
     
 
       

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Department Related Publications

  • Salwa Amien Mohamed ebrhiem, "Adaptive FAS-Multigrid Method for Nonlinear Elliptic Equations on Unstructured Grids", لايوجد, 1900 More
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