Q1629231
type: Item
instance of: scholarly article
title: Some analytical solitary wave solutions for the generalized q-deformed sinh-Gordon equation: \(\partial^2 \theta / \partial z \partial \xi = \alpha \left[\sinh_q(\beta \theta^\gamma)\right]^p - \delta\)
zbMATH Open document ID: 1404.35088
DOI: 10.1155/2018/5242757
author: H. Eleuch
published in: Advances in Mathematical Physics
publication date: 2018-12-11T00:00:00Z
review text: Summary: We introduce the generalized \(q\)-deformed Sinh-Gordon equation and derive analytical soliton solutions for some sets of parameters. This new defined equation could be useful for modeling physical systems with violated symmetries.
Mathematics Subject Classification ID: 35C08
Mathematics Subject Classification ID: 35L71
zbMATH DE Number: 6991977
zbMATH Keywords: analytical soliton
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/5242757
OpenAlex ID: W2893210368
cites work: Nonlinear dynamics and chaos. With applications to physics, biology, chemistry, and engineering
cites work: Topological and non-topological solitons of the generalized Klein-Gordon equations
cites work: Perturbation of topological solitons due to sine-Gordon equation and its type
cites work: Looking at a nonlinear inhomogeneous optical fiber through the generalized higher-order variable-coefficient Hirota equation
cites work: Solitons for the (2+1)-dimensional Konopelchenko-Dubrovsky equations
cites work: Rogue waves for the coupled variable-coefficient fourth-order nonlinear Schrödinger equations in an inhomogeneous optical fiber
cites work: Rogue waves for a variable-coefficient Kadomtsev-Petviashvili equation in fluid mechanics
cites work: Elements of applied bifurcation theory.
cites work: Spatial hysteresis and optical patterns
cites work: Ergodic theory of chaos and strange attractors
cites work: Complex nonlinearity. Chaos, phase transitions, topology change and path integrals
cites work: Correlated spontaneous emission on the Danube
cites work: A COMPARATIVE STUDY OF NEGATIVITY AND CONCURRENCE BASED ON SPIN COHERENT STATES
cites work: Quantum squeezing.
cites work: Nonlinear Waves, Solitons and Chaos
cites work: Solitary waves of Boussinesq equation in a power law media
cites work: Topological and non-topological solitons of nonlinear Klein-Gordon equations by He's semi-inverse variational principle
cites work: Optical solitons: perspectives and applications
cites work: Optical solitons in nonlinear directional couplers with spatio-temporal dispersion
cites work: Cnoidal and snoidal wave solutions to coupled nonlinear wave equations by the extended Jacobi's elliptic function method
cites work: Associate and conjugate minimal immersions in \(M \times R\)
cites work: Q3995225
cites work: Exactly solvable supersymmetric quantum mechanics
cites work: Exact solutions of multi-component nonlinear Schrödinger and Klein-Gordon equations in two-dimensional space-time
cites work: Solution of the Schrödinger equation for two \(q\)-deformed potentials by the SWKB method
cites work: Exact analytical solutions of the wave function for some \(q\)-deformed potentials
cites work: Bose-Einstein condensation of a \(q\)-deformed ideal Bose gas
cites work: SUq(1,1) description of vibrational molecular spectra
cites work: Application of the dual reciprocity boundary integral equation technique to solve the nonlinear Klein-Gordon equation
cites work: Analysis of four numerical schemes for a nonlinear Klein-Gordon equation
cites work: The tanh method: exact solutions of the sine-Gordon and the sinh-Gordon equations
cites work: A new Riccati equation rational expansion method and its application to \((2+1)\)-dimensional Burgers equation
cites work: The improved F-expansion method and its applications
cites work: Auxiliary equation method and new solutions of Klein-Gordon equations
label: Some analytical solitary wave solutions for the generalized q-deformed sinh-Gordon equation: \(\partial^2 \theta / \partial z \partial \xi = \alpha \left[\sinh_q(\beta \theta^\gamma)\right]^p - \delta\)
description: scientific article; zbMATH DE number 6991977