RT journal article
T1 Reductions and Conservation Laws of a Generalized Third-Order PDE via Multi-Reduction Method
A1 Bruzón Gallego, María de los Santos
A1 Rosa Silva, Rafael de la
A1 Gandarias Núñez, María Luz
A1 Tracinà, Rita
A2 Matemáticas
K1 third-order partial differential equations
K1 conservation laws
K1 multi-reduction method
K1 partial differential equations
AB In this work, we consider a family of nonlinear third-order evolution equations, where twoarbitrary functions depending on the dependent variable appear. Evolution equations of this typemodel several real-world phenomena, such as diffusion, convection, or dispersion processes, only tocite a few. By using the multiplier method, we compute conservation laws. Looking for travelingwaves solutions, all the the conservation laws that are invariant under translation symmetries aredirectly obtained. Moreover, each of them will be inherited by the corresponding traveling waveODEs, and a set of first integrals are obtained, allowing to reduce the nonlinear third-order evolutionequations under consideration into a first-order autonomous equation.
PB MDPI
SN 2227-7390
YR 2022
FD 2022-03
LK http://hdl.handle.net/10498/26725
UL http://hdl.handle.net/10498/26725
LA eng
DS Repositorio Institucional de la Universidad de Cádiz
RD 13-nov-2026