Analytical description of the coherent structures within the hyperbolic generalization of Burgers equation
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Publication:2456625
DOI10.1016/S0034-4877(06)80965-1zbMath1128.35380arXivnlin/0607013MaRDI QIDQ2456625
Ekaterina Kutafina, Vsevolod Vladimirov
Publication date: 19 October 2007
Published in: Reports on Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/nlin/0607013
KdV equations (Korteweg-de Vries equations) (35Q53) Soliton equations (35Q51) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Solutions to PDEs in closed form (35C05)
Related Items (6)
On the stability of some exact solutions to the generalized convection-reaction-diffusion equation ⋮ On the localized wave patterns supported by convection-reaction-diffusion equation ⋮ On the stability of kink-like and soliton-like solutions of the generalized convection-reaction-diffusion equation ⋮ Exact solutions of generalized Burgers equation, describing travelling fronts and their interaction ⋮ On a nonlinear hyperbolic equation with a bistable reaction term ⋮ Solitary waves in the model of active media, taking into account effects of relaxation
Cites Work
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- Exact travelling wave solutions of some nonlinear evolutionary equations
- Symmetry reductions and exact solutions of a class of nonlinear heat equations
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- Multiple travelling wave solutions of nonlinear evolution equations using a unified algebraic method
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