Lie symmetries of the shigesada-Kawasaki-Teramoto system
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- 作者：Roman Cherniha ; a ; r.m.cherniha@gmail.com" class="auth_mail" title="E-mail the corresponding author ; cherniha@gmail.com" class="auth_mail" title="E-mail the corresponding author ; Vasyl&rsquo ; Davydovycha ; Liliia Muzykab
- 关键词：Reaction-diffusion system ; Cross-diffusion ; Lie symmetry ; Exact solution
- 刊名：Communications in Nonlinear Science and Numerical Simulation
- 出版年：2017
- 出版时间：April 2017
- 年：2017
- 卷：45
- 期：Complete
- 页码：81-92
- 全文大小：491 K
文摘
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A complete Lie symmetries classification of the Shigesada-Kawasaki-Teramoto system is obtained.
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Nonlinear Lie symmetry operators for reaction-diffusion systems are unveiled for the first time.
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Nonlinear Lie symmetry operators for a search for exact solutions of the relevant nonlinear system with cross-diffusion are applied.
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