Painlevé analysis, Lie symmetries, and exact solutions for the time-dependent coefficients gardner equations

From MaRDI portal
Publication:2380574

DOI10.1007/s11071-009-9556-2zbMath1183.35236OpenAlexW2042958557MaRDI QIDQ2380574

Hanze Liu, Lei Liu, Ji-Bin Li

Publication date: 29 March 2010

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-009-9556-2




Related Items

Some invariant solutions of field equations with axial symmetry for empty space containing an electrostatic fieldTravelling Wave Solutions of a Generalized Variable-Coefficient Gardner EquationPainlevé analysis, \({\Phi}\)-integrable and exact solutions to the \((3+1)\)-dimensional nonlinear evolution equationsSimilarity reductions and exact solutions of generalized Bretherton equation with time-dependent coefficientsLie symmetry analysis of the nonlinear Schrödinger equation with time dependent variable coefficientsGeneralized symmetry classifications, integrable properties and exact solutions to the general nonlinear diffusion equationsClassical symmetries of the Klein-Gordon-Zakharov equations with time-dependent variable coefficientsPainlevé analysis, Lie symmetries and exact solutions for \((2+1)\)-dimensional variable coefficients Broer-Kaup equationsGroup classifications, symmetry reductions and exact solutions to the nonlinear elastic rod equationsExact solutions to Euler equation and Navier-Stokes equationPainlevé analysis and analytic solutions to the Riccati types of equationsNonclassical symmetries and similarity solutions of variable coefficient coupled KdV system using compatibility methodExact solutions and Painlevé analysis of a new (2+1)-dimensional generalized KdV equationLie symmetry analysis, optimal systems and exact solutions to the fifth-order KdV types of equationsSymmetry analysis and exact solutions to the space-dependent coefficient PDEs in financeGroup classifications, optimal systems and exact solutions to the generalized Thomas equationsSingularity analysis and explicit solutions of a new coupled nonlinear Schrödinger type equationExplicit exact solutions for variable coefficient Gardner equation: an application of Riccati equation mapping methodNew exact solutions for a generalized KdV equationInvariant analysis and exact solutions of nonlinear time fractional Sharma-Tasso-Olver equation by Lie group analysisPainlevé analysis, complete Lie group classifications and exact solutions to the time-dependent coefficients gardner types of equationsPainlevé test, generalized symmetries, Bäcklund transformations and exact solutions to the third-order Burgers' equationsPainlevé analysis and invariant solutions of variable coefficients extended Ostrovsky equation



Cites Work