Deprecated: $wgMWOAuthSharedUserIDs=false is deprecated, set $wgMWOAuthSharedUserIDs=true, $wgMWOAuthSharedUserSource='local' instead [Called from MediaWiki\HookContainer\HookContainer::run in /var/www/html/w/includes/HookContainer/HookContainer.php at line 135] in /var/www/html/w/includes/Debug/MWDebug.php on line 372
New variable separation approach: application to nonlinear diffusion equations - MaRDI portal

New variable separation approach: application to nonlinear diffusion equations

From MaRDI portal
Publication:4453914

DOI10.1088/0305-4470/36/49/006zbMath1106.35312arXivnlin/0210017OpenAlexW2068640422MaRDI QIDQ4453914

Shunli Zhang, Sen-yue Lou, Chang-Zheng Qu

Publication date: 7 March 2004

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0210017




Related Items

Symmetries and solutions to the thin film equationsNovel variable separation solutions and exotic localized excitations via the ETM in nonlinear soliton systemsFunctionally separable solutions to nonlinear wave equations by group foliation methodConditional Lie Bäcklund symmetries of Hamilton-Jacobi equationsConstruction of exact solutions to nonlinear PDEs with delay using solutions of simpler PDEs without delayApproximate generalized conditional symmetries and solutions for nonlinear filtration equation with a small parameterInvariant sets and solutions to the generalized thin film equationA method for constructing exact solutions of nonlinear delay PDEsSeparation of variables and exact solutions to nonlinear diffusion equations with \(x\)-dependent convection and absorptionNew Non-Travelling Wave Solutions of Calogero EquationVariable separation solutions for the \((2+1)\)-dimensional generalized Nizhnik-Novikov-Veselov equationA new periodic solution to Jacobi elliptic functions of MKdV equation and BBM equationSecond-order conditional Lie-Bäcklund symmetry and differential constraint of radially symmetric diffusion systemNonlinear evolution equations admitting multilinear variable separable solutionsSolutions with separated variables and breather structures in the \((1+1)\)-dimensional nonlinear systemsSoliton solutions, rational solutions, Matveev solutions, complexitons and mixed solutions for three (2+1)-dimension equationsBäcklund transformations and solutions of some generalized nonlinear evolution equationsA note on separation of variables solutions of generalized nonlinear diffusion equationsVariable separation solutions and interacting waves of a coupled system of the modified KdV and potential BLMP equationsOn the Lie algebras, generalized symmetries and Darboux transformations of the fifth-order evolution equations in shallow waterAmerican Institute of Mathematical SciencesConditional Lie-Bäcklund symmetries and functionally generalized separable solutions to the generalized porous medium equations with source