Homotopy solution for nonlinear differential equations in wave propagation problems
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Publication:661696
DOI10.1016/j.wavemoti.2008.07.002zbMath1231.65138OpenAlexW2049783690MaRDI QIDQ661696
Publication date: 11 February 2012
Published in: Wave Motion (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.wavemoti.2008.07.002
nonlinear differential equationshomotopy analysis methodcnoidal wavesKorteweg de Vries equationvakhnenko equation
KdV equations (Korteweg-de Vries equations) (35Q53) Series solutions to PDEs (35C10) Numerical methods for ordinary differential equations (65L99) Software, source code, etc. for problems pertaining to partial differential equations (35-04)
Related Items (13)
On the method of directly defining inverse mapping for nonlinear differential equations ⋮ Determination of optimal convergence-control parameter value in homotopy analysis method ⋮ Steady-state hydroelastic waves generated by a moving load in a uniform current ⋮ AN OPTIMAL HOMOTOPY ANALYSIS METHOD BASED ON PARTICLE SWARM OPTIMIZATION: APPLICATION TO FRACTIONAL-ORDER DIFFERENTIAL EQUATION ⋮ Solutions of nonlinear thickness-shear vibrations of an infinite isotropic plate with the homotopy analysis method ⋮ SERIES SOLUTION OF LARGE DEFORMATION OF A BEAM WITH ARBITRARY VARIABLE CROSS SECTION UNDER AN AXIAL LOAD ⋮ Two-parameter homotopy method for nonlinear equations ⋮ The essence of the generalized Taylor theorem as the foundation of the homotopy analysis method ⋮ An optimal homotopy-analysis approach for strongly nonlinear differential equations ⋮ A one-step optimal homotopy analysis method for nonlinear differential equations ⋮ Solution of delay differential equation by means of homotopy analysis method ⋮ Application of the homotopy-Padé technique in the prediction of optimal convergence-control parameter ⋮ Uniqueness and error estimates for solutions to higher-order boundary value problems
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