Self-similar solutions of the Burgers hierarchy

DOI10.1016/j.amc.2009.07.048zbMath1178.35321arXiv1112.5708OpenAlexW2010810500MaRDI QIDQ1045844

Nikolay A. Kudryashov

Publication date: 16 December 2009

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1112.5708

zbMATH Keywords

self-similar solutionsCole-Hopf transformationnonlinear evolution equationBurgers hierarchy

Mathematics Subject Classification ID

Soliton equations (35Q51) Geometric theory, characteristics, transformations in context of PDEs (35A30) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

Related Items

Nonlocal symmetry analysis and conservation laws to an third-order Burgers equation, Generalized Hermite polynomials for the Burgers hierarchy and point vortices, A special solution technique: further extensions, Special polynomials associated with the Burgers hierarchy, Generalized scaling reductions and Painlevé hierarchies, Symmetries, travelling-wave and self-similar solutions of the Burgers hierarchy, Residual symmetry, interaction solutions and consistent tanh expansion solvability for the third-order Burgers equation, Nonlinear evolution equations for describing waves in bubbly liquids with viscosity and heat transfer consideration, A computer-assisted proof of the existence of solutions to a boundary value problem with an integral boundary condition, The Cauchy problem for the equation of the Burgers hierarchy

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