Higher-order spectral filtering effects on the dynamics of stationary soliton in dissipative systems in the presence of linear and nonlinear gain/loss

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

Ali

Khattab

Mabrouk

2023

Nonlinear Dyn

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Dynamics of plane waves on two-dimensional isotropic and anisotropic dissipative systems near subcritical bifurcation

Beltchui Nzoukeu,

Nana Leufak,

Nana

2023

Nonlinear Dyn

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Propagation properties of bright solitons generated by the complex Ginzburg–Landau equation with high-order dispersion and nonlinear gradient terms

Yan,

Liu

et al. 2024

Applied Mathematics Letters

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Higher-order spectral filtering effects on the dynamics of stationary soliton in dissipative systems in the presence of linear and nonlinear gain/loss

Cited by 7 publications

References 23 publications

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

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

Dynamics of plane waves on two-dimensional isotropic and anisotropic dissipative systems near subcritical bifurcation

Propagation properties of bright solitons generated by the complex Ginzburg–Landau equation with high-order dispersion and nonlinear gradient terms

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