Conservation laws for a class of quasi self-adjoint third order equations

DOI10.1016/j.amc.2012.06.059zbMath1302.35250OpenAlexW1990339087MaRDI QIDQ2445220

Maria Luz Gandarias, Maria de los Santos Bruzon Gallego

Publication date: 14 April 2014

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2012.06.059

zbMATH Keywords

conservation lawsexact solutionsself-adjointnessclassical symmetriesquasi self-adjointness

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65)

Related Items (8)

Nonlinear and linearised primal and dual initial boundary value problems: when are they bounded? How are they connected? ⋮ Lie point symmetries, conservation laws, and solutions of a space dependent reaction-diffusion equation ⋮ On the nonlinear self-adjointness and local conservation laws for a class of evolution equations unifying many models ⋮ Conservation laws and exact solutions for a reaction-diffusion equation with a variable coefficient ⋮ Nonlinear self-adjoint classification of a Burgers-KdV family of equations ⋮ Conservation Laws by using the Multiplier Method for a Fifth-Order Kdv Equation with Time-Dependent Coefficients and Linear Damping ⋮ Nonlinear self-adjointness and generalized conserved quantities of the inviscid Burgers' equation with nonlinear source ⋮ Systematic construction of infinitely many conservation laws for certain nonlinear evolution equations in mathematical physics

Cites Work

• Some weak self-adjoint Hamilton-Jacobi-Bellman equations arising in financial mathematics
• Generalized Qiao hierarchy in \(2+1\) dimensions: reciprocal transformations, spectral problem and non-isospectrality
• Weak self-adjointness and conservation laws for a porous medium equation
• A new integrable equation with no smooth solitons
• Type II hidden symmetries through weak symmetries for some wave equations
• A new conservation theorem
• Noether-type symmetries and conservation laws via partial Lagrangians
• Cusp Soliton of a New Integrable Nonlinear Evolution Equation
• New Integrable Nonlinear Evolution Equations
• Weak self-adjoint differential equations
• Nonlinear self-adjointness and conservation laws
• Nonlinear self-adjointness of a generalized fifth-order KdV equation
• Direct construction method for conservation laws of partial differential equations Part II: General treatment

This page was built for publication: Conservation laws for a class of quasi self-adjoint third order equations