Solitary wave solutions with non-monotone shapes for the modified Kawahara equation

DOI10.1016/J.CAM.2017.08.027zbMath1432.76189OpenAlexW2752648501MaRDI QIDQ1636801

Rossitza S. Marinova, Tchavdar T. Marinov

Publication date: 12 June 2018

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2017.08.027

zbMATH Keywords

inverse problemnumerical solutionsolitary wave solutioncoefficient identificationmodified Kawahara equationnon-monotone shape

Mathematics Subject Classification ID

Finite difference methods applied to problems in fluid mechanics (76M20) Solitary waves for incompressible inviscid fluids (76B25) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)

Related Items (5)

Bell-shaped soliton solutions and travelling wave solutions of the fifth-order nonlinear modified Kawahara equation ⋮ Two structure-preserving schemes with fourth-order accuracy for the modified Kawahara equation ⋮ Periodic Behaviors of a Linear Fourth-Order Difference Solution to the Benjamin–Bona–Mahony-Type Equation with Time-Periodic Boundaries ⋮ A composite method based on delta‐shaped basis functions and Lie group high‐order geometric integrator for solving Kawahara‐type equations ⋮ Highly efficient approach to numerical solutions of two different forms of the modified Kawahara equation via contribution of two effective methods

Cites Work

• Energy decay for the modified Kawahara equation posed in a bounded domain
• Symbolic computation and new families of exact travelling solutions for the Kawahara and modified Kawahara equations
• Solitary wave solution for the generalized Kawahara equation
• Identification of solitary-wave solutions as an inverse problem: application to shapes with oscillatory tails
• Variational iteration method for delay differential equations
• New exact travelling wave solutions for the Kawahara and modified Kawahara equations
• Application of variational iteration method and homotopy perturbation method to the modified Kawahara equation
• A new approach to convergence rate analysis of Tikhonov regularization for parameter identification in heat conduction
• NOVEL NUMERICAL APPROACH TO SOLITARY–WAVE SOLUTIONS IDENTIFICATION OF BOUSSINESQ AND KORTEWEG–DE VRIES EQUATIONS
• An analytic and numerical solution to a modified Kawahara equation and a convergence analysis of the method
• Inverse problems for partial differential equations
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