English

Group classification of systems of non-linear reaction-diffusion equations with general diffusion matrix. II. Generalized Turing systems

Mathematical Physics 2011-11-09 v5 High Energy Physics - Theory math.MP Exactly Solvable and Integrable Systems Quantum Physics

Abstract

Group classification of systems of two coupled nonlinear reaction-diffusion equation with a diagonal diffusion matrix is carried out. Symmetries of diffusion systems with singular diffusion matrix and additional first order derivative terms are described.

Keywords

Cite

@article{arxiv.math-ph/0411028,
  title  = {Group classification of systems of non-linear reaction-diffusion equations with general diffusion matrix. II. Generalized Turing systems},
  author = {A. G. Nikitin},
  journal= {arXiv preprint arXiv:math-ph/0411028},
  year   = {2011}
}

Comments

The equivalence transformations are indicated in more clear form, misprints are corrected

R2 v1 2026-07-22T16:25:10.498Z