Comparison exact and numerical simulation of the traveling wave solution in nonlinear dynamics

DOI10.1142/S0217979220502823zbMath1454.35329OpenAlexW3093996290MaRDI QIDQ5151964

Doǧan Kaya, Asif Yokus

Publication date: 18 February 2021

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

Full work available at URL: https://doi.org/10.1142/s0217979220502823

zbMATH Keywords

finite difference methodsolitary wave solutionauto-Bäcklund transformation methodcombined Korteweg de Vries-modified Korteweg de Vries equationcomplexly coupled KdV equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Traveling wave solutions (35C07)

Related Items (6)

Highly dispersive optical soliton perturbation with cubic–quintic–septic law via two methods ⋮ Discussions on diffraction and the dispersion for traveling wave solutions of the (2+1)-dimensional paraxial wave equation ⋮ On the exact and numerical complex travelling wave solution to the nonlinear Schrödinger equation ⋮ Computational solutions of the generalized Ito equation in nonlinear dispersive systems ⋮ Breaking theory of solitary waves for the Riemann wave equation in fluid dynamics ⋮ Explicit and approximate solutions for the conformable-Caputo time-fractional diffusive predator-prey model

Cites Work

• Unnamed Item
• Unnamed Item
• Conservation laws for a complexly coupled KdV system, coupled Burgers system and Drinfeld-Sokolov-Wilson system via multiplier approach
• New solitary wave solution of the combined KdV and mKdV equation
• Uniformly constructing a series of explicit exact solutions to nonlinear equations in mathematical physics
• Two new applications of the homogeneous balance method
• Soliton fission and fusion: Burgers equation and Sharma-Tasso-Olver equation
• Study on numerical solution of dispersive water wave phenomena by using a reliable modification of variational iteration algorithm
• Analytical solutions for the \((3+1)\)-dimensional nonlinear extended quantum Zakharov-Kuznetsov equation in plasma physics
• Optical solitons to the fractional perturbed NLSE in nano-fibers
• An efficient modified Haar wavelet collocation method for numerical solution of two-dimensional elliptic PDEs
• Haar wavelet collocation method for three-dimensional elliptic partial differential equations
• Geodesic flows, bi-Hamiltonian structure and coupled KdV type systems
• New travelling wave solutions for KdV6 equation using sub equation method
• The new extended rational SGEEM for construction of optical solitons to the \((2+1)\)-dimensional Kundu-Mukherjee-Naskar model
• Exact solutions to the combined KdV and mKdV equation
• Numerical simulation and solutions of the two‐component second order KdV evolutionarysystem
• The solitary wave solutions to the fractional Radhakrishnan–Kundu–Lakshmanan model
• Analysis and numerical computations of the fractional regularized long‐wave equation with damping term
• ANALYSIS OF THE TIME FRACTIONAL NONLINEAR DIFFUSION EQUATION FROM DIFFUSION PROCESS
• Auto-Bäcklund transformation and similarity reductions for general variable coefficient KdV equations

This page was built for publication: Comparison exact and numerical simulation of the traveling wave solution in nonlinear dynamics