Keywords: Shallow water equations; Boussinesq approximation; Lie group; Invariant solution; Noether's theorem; 76M60; 35R10;
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Keywords: 22E60; 76M60; 35Q75; 34C20; Approximate symmetries; Noether symmetries; Collineations;
Keywords: Lie symmetry; potential functions; Klein-Gordon equation; 22E60; 76M60; 35Q75; 34C20;
Keywords: 76M60; Fundamental graded Lie algebras; Conformal pseudo-subriemannian geometry;
Keywords: Wave equation; Conservation laws; Lie symmetry; Direct method; Noether's theorem; Boyer's formulation; 76M60; 70H33; 35J05;
Keywords: Integro-differential equation; Population balance equation; Lie group; Group classification; Exact solution; 76M60; 35R09;
Keywords: 76M60; 92D25; 35Q91; Symmetry reductions; Potential symmetries; Fisher equation; Reaction-diffusion; Partial differential equations;
Keywords: 22E60; 76M60; 35Q75; 34C20; Lie symmetry; Potential functions; Klein-Gordon equation; Invariant solutions;
Keywords: Integro-differential equation; Population balance equation; Lie groups; Preliminary group classification; Exact solutions; 76M60; 35R09;
Keywords: Time fractional systems of partial differential equations; Riemann-Liouville fractional derivative; Conservation laws; Nonlinear self-adjointness; 26A33; 34A08; 35R11; 76M60; 70S10;
Keywords: Singularly perturbed Boussinesq equation; Analytical solutions; Approximate symmetry; Approximate invariant solutions; 35B06; 76M60; 58J70;
Keywords: Group classification; Lie group; Invariant solution; 76M60; 35R10,;
Keywords: Lie point symmetries; Couple stress fluid; Porous channel; Magnetic field; Expanding and contracting walls; Slip boundary condition; 76D05; 76M60; 76M99; 76S05; 76W05;
Keywords: 76M60; 35R10; Hyperbolic shallow water equations; Green-Naghdi model; Lie group; Invariant solution; Noether's theorem;
Keywords: 76M60; 58J70; 35A30; 70G65Lie point symmetry; Noether theorem; Rellich identity; Pohozaev identity
Lie point symmetries and conservation laws for a class of BBM-KdV systems
Keywords: BBM-KdV system; Lie point symmetries; Nonlinear self-adjointness; Conservation laws; 76M60; 58J70; 70G65;
The conservation laws with Lie symmetry analysis for time fractional integrable coupled KdV-mKdV system
Keywords: 26A33; 34A08; 76M60; Time fractional integrable coupled Kdv-mKdv system; Fractional Lie symmetry analysis; Erdélyi-Kober operator; New conservation law;
Approximate conditions admitted by classes of the Lagrangian L=12(âuâ²2+u2)+ϵiGi(u,uâ²,uâ³)
Keywords: Approximate symmetries; Orbital equation; Uncertainty principle; 22E60; 76M60; 35Q75; 34C20;
ReviewMixed-type soliton propagations in two-layer-liquid (or in an elastic) medium with dispersive waveguides
Keywords: 76D05; 76M60; 76M99; 76S05; 76W05; (3Â +Â 1)-dimensional Yu-Toda-Sasa-Fukuyama; Two-soliton; Two-layer; Dispersion; Waveguides;
Lie symmetries, symmetry reductions and conservation laws of time fractional modified Korteweg-de Vries (mkdv) equation
Keywords: Fractional differential equations; Fractional lie group method; Lie symmetries; 35R11; 70S10; 76M60;
Invariant analysis with conservation laws for the time fractional Drinfeld-Sokolov-Satsuma-Hirota equations
Keywords: Time fractional coupled Drinfeld-Sokolov-Satsuma-Hirota equations; Lie symmetry analysis; Erdélyi-Kober operator; New conservation laws; 26A33; 34A08; 76M60;
Group classification and conservation laws for a two-dimensional generalized Kuramoto–Sivashinsky equation
Keywords: 76M60; 35A30; 70G65Anisotropic Kuramoto–Sivashinsky equation; Nonlinear self-adjointness; Group classification; Conservation laws; Computer algebra
Lie point symmetries and some group invariant solutions of the quasilinear equation involving the infinity Laplacian
Keywords: 76M60; 58J70; 35A30; 70G65Infinity Laplacian; Aronsson equation; Lie point symmetry; Invariant solutions
A symmetry classification for a class of (2+1)-nonlinear wave equation
Keywords: 58J70; 76M60; 35L05Infinitesimal generator; Lie symmetry; (2+1)-nonlinear wave equation; Prolongation
Characteristic function method for classification of equations of hydrodynamics of a perfect fluid
Keywords: 35C05; 35F20; 35Q35; 76M60; Characteristic function method; Hydrodynamical equations; Perfect fluid;