On symmetries and conservation laws of a Gardner equation involving arbitrary functions
From MaRDI portal
Publication:1733679
DOI10.1016/j.amc.2016.05.050zbMath1410.35165OpenAlexW2501549795MaRDI QIDQ1733679
Publication date: 21 March 2019
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2016.05.050
conservation lawsmultiplierssymmetriespartial differential equationsadjoint equation to nonlinear equations
Related Items (12)
Symmetry Analysis and Conservation Laws of a Family of Boussinesq Equations ⋮ Some variational principles associated with ODEs of maximal symmetry. I: Equations in canonical form ⋮ Symmetries and conservation laws of a fifth-order KdV equation with time-dependent coefficients and linear damping ⋮ Travelling Wave Solutions of a Generalized Variable-Coefficient Gardner Equation ⋮ A novel dynamic model and the oblique interaction for ocean internal solitary waves ⋮ Analysis of Generalized BBM Equations: Symmetry Groups and Conservation Laws ⋮ Lie symmetry analysis, exact solutions, conservation laws of variable-coefficients Calogero–Bogoyavlenskii–Schiff equation ⋮ Symmetry Reductions for a Generalized Fifth Order KdV Equation ⋮ An Overview of the Generalized Gardner Equation: Symmetry Groups and Conservation Laws ⋮ Traveling wave solutions and conservation laws of a generalized Kudryashov-Sinelshchikov equation ⋮ Conservation laws and symmetry analysis for a quasi-linear strongly-damped wave equation ⋮ Travelling wave solutions of a one-dimensional viscoelasticity model
Uses Software
Cites Work
- Symmetry classification of the Gardner equation with time-dependent coefficients arising in stratified fluids
- Conservation laws of KdV equation with time dependent coefficients
- A study on KdV and Gardner equations with time-dependent coefficients and forcing terms
- Classification, reduction, group-invariant solutions and conservation laws of the Gardner-KP equation
- A new conservation theorem
- Enhanced group classification of gardner equations with time-dependent coefficients
- Group analysis of KdV equation with time dependent coefficients
- Relationship between symmetries and conservation laws
- New exact solutions for the generalized variable-coefficient Gardner equation with forcing term
- Nonlinear self-adjointness, conservation laws, exact solutions of a system of dispersive evolution equations
- Construction of non-travelling wave solutions for the generalized variable-coefficient Gardner equation
- Conservation Laws of a Family of Reaction-Diffusion-Convection Equations
- Weak self-adjoint differential equations
- Nonlinear self-adjointness and conservation laws
- Direct Construction of Conservation Laws from Field Equations
- Direct construction method for conservation laws of partial differential equations Part I: Examples of conservation law classifications
- Direct construction method for conservation laws of partial differential equations Part II: General treatment
- The Gardner method for symmetries
- Weak Self-Adjointness and Conservation Laws for a Family of Benjamin-Bona-Mahony-Burgers Equations
- Unnamed Item
This page was built for publication: On symmetries and conservation laws of a Gardner equation involving arbitrary functions
