Vortex dynamics for the nonlinear wave equation is a typical model of the "particle and field" theories of classical physics. The formal derivation of the dynamical law was done by J. Neu. He also made an interesting connection between vortex dynamics and the Dirac theory of electrons. Here we give
β¦ LIBER β¦
Traveling Wave Profiles for Nonlinear Equations
β Scribed by Mostafa A. Abdelkader
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 160 KB
- Volume
- 213
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
β¦ Synopsis
Exact traveling wave profiles are here obtained for a general reaction-diffusionconvection equation, a two-phase flow equation, a generalized HarryαDym equa-Ε½ . tion, a generalized Kortewegαde Vries KdV equation, a modified mKdV equation, a branching network model equation, a Nagumo equation, and a third-order equation of fluid mechanics.
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