Towards an approximation of solitary-wave solutions of nonintegrable evolutionary PDEs via symmetry and qualitative analysis

DOI10.1016/S0034-4877(05)80095-3zbMath1090.35161OpenAlexW2036708871MaRDI QIDQ817451

Ekaterina Kutafina, Vsevolod Vladimirov

Publication date: 16 March 2006

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0034-4877(05)80095-3

zbMATH Keywords

Burgers equationapproximationsymmetry reductionsoliton-like solutionsd'Alembert equationqualitative analysis

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Soliton equations (35Q51) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30)

Related Items (4)

On the stability of kink-like and soliton-like solutions of the generalized convection-reaction-diffusion equation ⋮ Analytical description of the coherent structures within the hyperbolic generalization of Burgers equation ⋮ Exact solutions of generalized Burgers equation, describing travelling fronts and their interaction ⋮ Solitary waves in the model of active media, taking into account effects of relaxation

Cites Work

• Exact travelling wave solutions of some nonlinear evolutionary equations
• Hierarchy of bifurcations of space-periodic structures in a nonlinear model of active dissipative media
• Multiple travelling wave solutions of nonlinear evolution equations using a unified algebraic method
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Towards an approximation of solitary-wave solutions of nonintegrable evolutionary PDEs via symmetry and qualitative analysis