Reductions and Conservation Laws of a Generalized Third-Order PDE via Multi-Reduction Method

Autor: Rita TRACINA', María Santos Bruzón Gallego, Maria Luz Gandarias, Rafael De la Rosa Silva

Publikováno v: Mathematics; Volume 10; Issue 6; Pages: 954

In this work, we consider a family of nonlinear third-order evolution equations, where two arbitrary functions depending on the dependent variable appear. Evolution equations of this type model several real-world phenomena, such as diffusion, convect

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1d17dcb96464c1d5f96328e03c5ff3e3
https://doi.org/10.3390/math10060954

Lie point symmetries for generalised Fisher's equations describing tumour dynamics

Autor: Maria Luz Gandarias, Álvaro Martínez-Rubio, Salvador Chulián, María Rosa

Publikováno v: Mathematical Biosciences and Engineering, Vol 18, Iss 4, Pp 3291-3312 (2021)
Mathematical Biosciences and Engineering 2021, Volume 18, Issue 4: 3291-3312
RODIN. Repositorio de Objetos de Docencia e Investigación de la Universidad de Cádiz
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A huge variety of phenomena are governed by ordinary differential equations (ODEs) and partial differential equations (PDEs). However, there is no general method to solve them. Obtaining solutions for differential equations is one of the greatest pro

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::dc286b3c1a44f697faa59b1ff22e7359
https://doi.org/10.3934/mbe.2021164