Numerical approximation of modified Kawahara equation using kernel smoothing method

DOI10.1016/j.matcom.2021.11.014OpenAlexW3215033370MaRDI QIDQ2076744

Aiman Zara, Shafiq Ur Rehman, Salima Kouser, Anjum Pervaiz, Fayyaz Ahmad

Publication date: 22 February 2022

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2021.11.014

zbMATH Keywords

solitary wavesmodified Kawahara equationkernel smoothing method

Mathematics Subject Classification ID

Fluid mechanics (76-XX) Numerical analysis (65-XX)

Related Items (3)

Two structure-preserving schemes with fourth-order accuracy for the modified Kawahara equation ⋮ Kernel smoothing method for the numerical approximation of Benjamin-Bona-Mahony-Burgers' equation ⋮ A new approach for the numerical approximation of modified Korteweg-de Vries equation

Cites Work

• Solitons and other nonlinear waves of the Boussinesq equation
• The periodic solutions to Kawahara equation by means of the auxiliary equation with a sixth-degree nonlinear term
• The optimal homotopy-analysis method for Kawahara equation
• An efficient approximation to numerical solutions for the Kawahara equation via modified cubic B-spline differential quadrature method
• Soliton solutions for a generalized KdV and BBM equations with time-dependent coefficients
• 1-soliton solution of Benjamin-Bona-Mahoney equation with dual-power law nonlinearity
• A new approach for numerical solution of modified Korteweg-de Vries equation
• Symbolic computation and new families of exact travelling solutions for the Kawahara and modified Kawahara equations
• Solitary wave solution for the generalized Kawahara equation
• Highly efficient approach to numerical solutions of two different forms of the modified Kawahara equation via contribution of two effective methods
• An efficient approach for the numerical solution of fifth-order KdV equations
• Solitary and rogue wave solutions to the conformable time fractional modified Kawahara equation in mathematical physics
• Numerical solution of time-fractional Kawahara equation using reproducing kernel method with error estimate
• Numerical solutions of the Kawahara type equations using radial basis functions
• Traveling wave solutions for a generalized Kawahara and Hunter-Saxton equations

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