DOI10.1016/j.na.2009.01.075zbMath1244.35003OpenAlexW2029691403MaRDI QIDQ1030108
Hanze Liu, Ji-Bin Li
Publication date: 1 July 2009
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.na.2009.01.075
Complete Group Classification and Exact Solutions to the Generalized Short Pulse Equation ⋮
Lie symmetries of generalized equal width wave equations ⋮
Painlevé analysis, Lie symmetries, and exact solutions for the time-dependent coefficients gardner equations ⋮
Lie symmetry analysis, nonlinear self-adjointness and conservation laws to an extended \((2+1)\)-dimensional Zakharov-Kuznetsov-Burgers equation ⋮
Weierstrass and Jacobi elliptic solutions with some new dromions to Maccari system ⋮
Lie symmetries, integrable properties and exact solutions to the variable-coefficient nonlinear evolution equations ⋮
Lie symmetry analysis and different types of solutions to a generalized bidirectional sixth-order Sawada-Kotera equation ⋮
Classical symmetries of the Klein-Gordon-Zakharov equations with time-dependent variable coefficients ⋮
Group classifications, symmetry reductions and exact solutions to the nonlinear elastic rod equations ⋮
Approximate symmetry analysis of nonlinear Rayleigh-wave equation ⋮
On integrability of the higher dimensional time fractional KdV-type equation ⋮
Lie symmetry analysis, traveling wave solutions, and conservation laws to the \((3+1)\)-dimensional generalized B-type Kadomtsev-Petviashvili equation ⋮
Lie symmetry analysis, conservation laws and analytical solutions for chiral nonlinear Schrödinger equation in (2 + 1)-dimensions ⋮
Lie symmetry analysis and traveling wave solutions of equal width wave equation ⋮
Lie symmetry analysis and some exact solutions of \((2+1)\)-dimensional KdV-Burgers equation ⋮
SINGULAR PERIODIC WAVES OF AN INTEGRABLE EQUATION FROM SHORT CAPILLARY-GRAVITY WAVES ⋮
Exact and numerical solutions of coupled short pulse equation with time-dependent coefficients ⋮
Symmetry reductions, dynamical behavior and exact explicit solutions to the Gordon types of equations ⋮
Singular solitons, shock waves, and other solutions to potential KdV equation ⋮
Lie symmetry analysis, optimal systems and exact solutions to the fifth-order KdV types of equations ⋮
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Group analysis and new explicit solutions of simplified modified Kawahara equation with variable coefficients ⋮
Lie symmetry reductions and exact solutions to the Rosenau equation ⋮
Group classifications, optimal systems and exact solutions to the generalized Thomas equations ⋮
Lie symmetry analysis and conservation law for the equation arising from higher order Broer-Kaup equation ⋮
The recursion operator method for generalized symmetries and Bäcklund transformations of the Burgers' equations ⋮
Symmetry reduction, exact solutions and conservation laws of a new fifth-order nonlinear integrable equation ⋮
Notes on ``Different kinds of exact solutions with two-loop character of the two-component short pulse equations of the first kind ⋮ Invariant analysis and explicit solutions of the time fractional nonlinear perturbed Burgers equation ⋮ Bifurcations and exact traveling wave solutions for a class of nonlinear fourth-order partial differential equations ⋮ Painlevé analysis, complete Lie group classifications and exact solutions to the time-dependent coefficients gardner types of equations ⋮ A robust numerical integrator for the short pulse equation near criticality ⋮ Direct similarity reductions and new exact solutions of the short pulse equation ⋮ A study on the (2+1)-dimensional first extended Calogero-Bogoyavlenskii-Schiff equation ⋮ Symmetries and conservation laws of the Yao-Zeng two-component short-pulse equation ⋮ Painlevé test, generalized symmetries, Bäcklund transformations and exact solutions to the third-order Burgers' equations
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