Abstract
AbstractThe 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.
Publisher
Springer Science and Business Media LLC
Subject
Electrical and Electronic Engineering,Applied Mathematics,Mechanical Engineering,Ocean Engineering,Aerospace Engineering,Control and Systems Engineering
Reference35 articles.
1. Ismael, H.F., Akkilic, A.N., Murad, M.A.S., Bulut, H., Mahmoud, W., Osman, M.S.: Boiti–Leon–Manna–Pempinelli equation including time-dependent coefficient (vcBLMPE): a variety of nonautonomous geometrical structures of wave solutions. Nonlinear Dyn. 110, 1–14 (2022)
2. Abdel-Gawad, H. I.: Towering and internal rogue waves induced by two-layer interaction in non-uniform fluid. A 2D non-autonomous gCDGKSE. Nonlinear Dyn. 34, 1–18 (2022)
3. Arnous, A.H., Ullah, M.Z., Asma, M., Moshokoa, S.P., Mirzazadeh, M., Biswas, A., Belic, M.: Nematicons in liquid crystals by modified simple equation method. Nonlinear Dyn. 88(4), 2863–2872 (2017)
4. Zhu, H., Chen, L.: Vector dark-bright second-order rogue wave and triplets for a (3+ 1)-dimensional CNLSE with the partially nonlocal nonlinearity. Nonlinear Dyn. 51, 1–10 (2022)
5. Muniyappan, A., Suruthi, A., Monisha, B., Sharon Leela, N., Vijaycharles, J.: Dromion− like structures in a cubic− quintic nonlinear Schrödinger equation using analytical methods. Nonlinear Dyn. 104(2), 1533–1544 (2021)
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