Dynamics and Exact Kink Wave Solutions of the Porous Media Equation with Convection
For a porous media equation, the existence of uncountably infinite many global monotonic kink wave solutions with bounded supports is proved. By using the method of planar dynamical systems, the dynamical behavior of the corresponding traveling wave system is discussed. A few exact explicit parametric representations of the kink wave solution families are given.
Authors
- Jibin Li (ORCID: https://orcid.org/0000-0003-4839-5956)
- Rong Wu (ORCID: https://orcid.org/0009-0009-8943-9813)
Institutions
- Huaqiao University (CN)
- Zhejiang Normal University (CN)
Publication Details
- Journal
- International Journal of Bifurcation and Chaos
- Published
- 2025-03-14
- DOI
- https://doi.org/10.1142/s0218127425500622
- Primary Topic
- Lattice Boltzmann Simulation Studies
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- National Outstanding Youth Science Fund Project of National Natural Science Foundation of China