Dynamics of solitons to the coupled sine-Gordon equation in nonlinear optics

DOI10.1142/S0217979221500430zbMath1455.35245MaRDI QIDQ4965708

Yongjin Li, Mustafa Inc, Abdullahi Yusuf, Aliyu Isa Aliyu, Bandar Almohsen

Publication date: 9 March 2021

Published in: International Journal of Modern Physics B (Search for Journal in Brave)

zbMATH Keywords

nonlinear self-adjointnessClsCSGEprinciple of undetermined coefficient method

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Lasers, masers, optical bistability, nonlinear optics (78A60) Soliton solutions (35C08) Trigonometric solutions to PDEs (35C09)

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Cites Work

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• Optical solitons with Biswas-Milovic equation for power law and dual-power law nonlinearities
• Analytical study of solitons in magneto-electro-elastic circular rod
• Numerical simulation of two-dimensional sine-Gordon solitons via a local weak meshless technique based on the radial point interpolation method (RPIM)
• Exact solutions of coupled sine-Gordon equations
• Modified simple equation method for nonlinear evolution equations
• 1-soliton solution of KdV6 equation
• A new conservation theorem
• Coupled sine-Gordon systems in DNA dynamics
• A sine-cosine method for handling nonlinear wave equations
• On the exchange of energy in coupled Klein --- Gordon equations
• Integrating factors, adjoint equations and Lagrangians
• A pseudo-spectral method that uses an overlapping multidomain technique for the numerical solution of sine-Gordon equation in one and two spatial dimensions
• Exact solutions of the cubic-quintic nonlinear optical transmission equation with higher-order dispersion terms and self-steepening term
• Symmetry reductions, exact solutions, and conservation laws of the generalized Zakharov equations
• A numerical method for one‐dimensional nonlinear Sine‐Gordon equation using collocation and radial basis functions