Abundant numerical and analytical solutions of the generalized formula of Hirota-Satsuma coupled KdV system

DOI10.1016/j.chaos.2019.109473zbMath1495.35156OpenAlexW2984429772WikidataQ126802477 ScholiaQ126802477MaRDI QIDQ2123461

Dianchen Lu, Abdel-Haleem Abdel-Aty, Ahmad T. Ali, Raghda A. M. Attia, Mostafa M. A. Khater

Publication date: 8 April 2022

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2019.109473

zbMATH Keywords

approximate solutionscomputational solutionB-spline schemegeneralized Hirota-Satsuma coupled Korteweg-de Vries equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Soliton solutions (35C08) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22)

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Cites Work

• Solitary wave solution of the generalized Hirota-Satsuma coupled KdV system
• Bifurcations of the time-fractional generalized coupled Hirota-Satsuma KdV system
• Iterative solutions of Hirota Satsuma coupled KdV and modified coupled KdV systems
• The effects of the singular lines on the traveling wave solutions of modified dispersive water wave equations
• Entire solutions and traveling wave solutions of the Allen-Cahn-Nagumo equation
• Negative-order integrable modified KdV equations of higher orders
• A stabilised immersed framework on hierarchical b-spline grids for fluid-flexible structure interaction with solid-solid contact
• Model equations and traveling wave solutions for shallow-water waves with the Coriolis effect
• Lie symmetry analysis, conservation laws and exact solutions of the time-fractional generalized Hirota-Satsuma coupled KdV system
• A generalized cubic exponential B-spline scheme with shape control
• Long-period limit of exact periodic traveling wave solutions for the derivative nonlinear Schrödinger equation
• Stability of traveling wave solutions for a spatially discrete SIS epidemic model
• An efficient algorithm to construct multi-soliton rational solutions of the \((2+ 1)\)-dimensional KdV equation with variable coefficients
• Generalized multi-hump wave solutions of KdV-KdV system of Boussinesq equations
• Exact Traveling Wave Solutions and Bifurcations of the Time-Fractional Differential Equations with Applications
• Exact traveling wave solutions for the generalized Hirota-Satsuma couple KdV system using the exp(−φ(ξ))-expansion method
• Fractional sub-equation method for Hirota–Satsuma-coupled KdV equation and coupled mKdV equation using the Atangana’s conformable derivative
• EXACT TRAVELING-WAVE SOLUTIONS FOR ONE-DIMENSIONAL MODIFIED KORTEWEG–DE VRIES EQUATION DEFINED ON CANTOR SETS
• Two Approaches for the Stabilization of Nonlinear KdV Equation With Boundary Time-Delay Feedback
• Direct Numerical Simulation of Turbulent Flows Laden with Droplets or Bubbles
• Soliton solutions for a generalized Hirota-Satsuma coupled KdV equation and a coupled MKdV equation

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