Bifurcation, traveling wave solutions, and stability analysis of the fractional generalized Hirota-Satsuma coupled KdV equations

DOI10.1155/2021/5303295zbMath1486.35365OpenAlexW3207186342MaRDI QIDQ2244378

Peng Li, Zhao Li, Tian Yong Han

Publication date: 12 November 2021

Published in: Discrete Dynamics in Nature and Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2021/5303295

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) NLS equations (nonlinear Schrödinger equations) (35Q55) Bifurcations in context of PDEs (35B32) Traveling wave solutions (35C07) Soliton solutions (35C08)

Related Items (2)

Phase portraits and traveling wave solutions of Fokas system in monomode optical fibers ⋮ Traveling wave solution of the Kaup-Boussinesq system with beta derivative arising from water waves

Cites Work

• Qualitative analysis and traveling wave solutions for the perturbed nonlinear Schrödinger's equation with Kerr law nonlinearity
• Exact traveling wave solutions for a generalized Hirota-Satsuma coupled KdV equation by Fan sub-equation method
• A new method for a generalized Hirota-Satsuma coupled KdV equation
• New exact Jacobi elliptic functions solutions for the generalized coupled Hirota-Satsuma KdV system
• On soliton solutions for a generalized Hirota-Satsuma coupled KdV equation
• Bifurcations and new exact travelling wave solutions for the Gerdjikov-Ivanov equation
• Travelling wave solutions in the generalized Hirota-Satsuma coupled KdV system
• The improved fractional sub-equation method and its applications to the space-time fractional differential equations in fluid mechanics
• A generalized Hirota-Satsuma coupled Korteweg-de Vries equation and Miura transformations
• Bifurcation and exact solutions for the \((2+1)\)-dimensional conformable time-fractional zoomeron equation
• Lie symmetry analysis, conservation laws and exact solutions of the time-fractional generalized Hirota-Satsuma coupled KdV system
• \(N\)-soliton solutions and long-time asymptotic analysis for a generalized complex Hirota-Satsuma coupled KdV equation
• \(N\)-soliton solutions and dynamic property analysis of a generalized three-component Hirota-Satsuma coupled KdV equation
• Bifurcations and solutions for the generalized nonlinear Schrödinger equation
• A new definition of fractional derivative
• Multi-component generalizations of the Hirota-Satsuma coupled KdV equation

This page was built for publication: Bifurcation, traveling wave solutions, and stability analysis of the fractional generalized Hirota-Satsuma coupled KdV equations