Nonexistence of prolongation structure for the Korteweg-de Vries-Burgers equation.

DOI10.1016/0375-9601(85)90234-8zbMath1177.37056OpenAlexW2040256440MaRDI QIDQ1047639

J. Blot

Publication date: 5 January 2010

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0375-9601(85)90234-8

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Incompressible inviscid fluids (76B99)

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Geometric singular perturbation method to the existence and asymptotic behavior of traveling waves for a generalized Burgers-KdV equation ⋮ Traveling waves to a Burgers-Korteweg-de Vries-type equation with higher-order nonlinearities ⋮ A procedure for determining exact solutions to certain nonlinear evolution equations ⋮ Lie symmetry analysis, soliton and numerical solutions of boundary value problem for variable coefficients coupled KdV-Burgers equation ⋮ Burgers-Korteweg-de Vries equation and its traveling solitary waves ⋮ The Korteweg–de Vries–Burgers equation and its approximate solution ⋮ Nonlinear dynamics of the KdV-B equation and its biomedical applications ⋮ Dynamics of travelling waves to KdV-Burgers-Kuramoto equation with Marangoni effect perturbation ⋮ EXISTENCE AND ASYMPTOTIC BEHAVIOR OF TRAVELING WAVE SOLUTION FOR KORTEWEG-DE VRIES-BURGERS EQUATION WITH DISTRIBUTED DELAY

Cites Work

• The Estabrook-Wahlquist method with examples of application
• The prolongation structures of quasi-polynomial flows
• Prolongation structures of nonlinear evolution equations
• Prolongation structures of nonlinear evolution equations. II
• On a quasi-linear parabolic equation occurring in aerodynamics

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