Analytical Solutions for a New Form of the Generalized q-Deformed Sinh–Gordon Equation: ∂2u∂z∂ζ=eαu[sinhq(uγ)]p−δ
Khalid K. Ali, Haifa I. Alrebdi, Norah A. M. Alsaif, Abdel‐Haleem Abdel‐Aty, Hichem Eleuch
Abstract
In this article, a new version of the generalized q-deformed Sinh–Gordon equation is presented, and analytical solutions are developed for specific parameter sets using those equations. There is a possibility that the new equation can be used to model physical systems that have broken symmetries and include also effects related to amplification or dissipation. In addition, we have include some illustrations that depict the varied patterns of soliton propagation.
Topics & Concepts
Hyperbolic functionHomogeneous spaceSolitonMathematical physicsDissipationTraveling wavePhysicsMathematical analysisMathematicsGeometryQuantum mechanicsNonlinear systemNonlinear Waves and SolitonsNonlinear Photonic SystemsFractional Differential Equations Solutions