Symmetry reduction, exact solutions and conservation laws of a new fifth-order nonlinear integrable equation

From MaRDI portal
Publication:2513465

DOI10.1016/j.cnsns.2012.12.003zbMath1304.35623OpenAlexW1998237133MaRDI QIDQ2513465

Ying-Yuan Zhang, Gang-Wei Wang, Xi-Qiang Liu

Publication date: 28 January 2015

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2012.12.003




Related Items (22)

Explicit solutions and conservation laws of the logarithmic-KP equationDynamics of soliton waves of group-invariant solutions through optimal system of an extended KP-like equation in higher dimensions with applications in medical sciences and mathematical physicsLie symmetry analysis, nonlinear self-adjointness and conservation laws to an extended \((2+1)\)-dimensional Zakharov-Kuznetsov-Burgers equationAnisotropic non-linear time-fractional diffusion equation with a source term: classification via Lie point symmetries, analytic solutions and numerical simulationInvestigation of breaking dynamics for Riemann waves in shallow waterPerturbation, symmetry analysis, Bäcklund and reciprocal transformation for the extended Boussinesq equation in fluid mechanicsNonlocal symmetries, consistent tanh expansion solvability and interaction solutions for a new fifth-order nonlinear integrable equationClosed-form solutions and conserved quantities of a new integrable \((2 +1)\)-dimensional Boussinesq equation of nonlinear sciencesEXPLICIT OPTICAL DROMIONS WITH KERR LAW HAVING FRACTIONAL TEMPORAL EVOLUTIONSymmetry and conservation laws of the (2+1)-dimensional nonlinear Schrödinger-type equationBidirectional solitons and interaction solutions for a new integrable fifth-order nonlinear equation with temporal and spatial dispersionEquivalence transformations and conservation laws for a generalized variable-coefficient Gardner equationApproximate symmetry analysis of nonlinear Rayleigh-wave equation(2 + 1)-dimensional Boiti-Leon-Pempinelli equation -- domain walls, invariance properties and conservation lawsAn Overview of the Generalized Gardner Equation: Symmetry Groups and Conservation LawsOptimal system, group invariant solutions and conservation laws of the CGKP equationHighly dispersive optical solitons in polarization-preserving fibers with Kerr law nonlinearity by Lie symmetryGroup analysis and new explicit solutions of simplified modified Kawahara equation with variable coefficientsSymmetry reduction, exact solutions and conservation laws of the Bogoyavlenskii equationInvariant analysis and explicit solutions of the time fractional nonlinear perturbed Burgers equationSymmetry reduction and numerical solution of von Kármán swirling viscous flowSymmetry properties and explicit solutions of some nonlinear differential and fractional equations



Cites Work


This page was built for publication: Symmetry reduction, exact solutions and conservation laws of a new fifth-order nonlinear integrable equation