Self-similar solutions of a Burgers-type equation with quadratically cubic nonlinearity

DOI10.1134/S1064562416010051zbMath1342.35311OpenAlexW2317591080MaRDI QIDQ294352

V. A. Gusev, O. V. Rudenko

Publication date: 16 June 2016

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562416010051

zbMATH Keywords

self-similar solutionsBurgers-type equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Self-similar solutions to PDEs (35C06)

Related Items (7)

Exact solutions of an integro-differential equation with quadratically cubic nonlinearity ⋮ One-dimensional model of KZ-type equations for waves in the focal region of cubic and quadratically-cubic nonlinear media ⋮ Single shock and periodic sawtooth-shaped waves in media with non-analytic nonlinearities ⋮ Equation admitting linearization and describing waves in dissipative media with modular, quadratic, and quadratically cubic nonlinearities ⋮ Modular solitons ⋮ Modular Hopf equation ⋮ Strong nonlinearity, anisotropy, and solitons in a lattice with holonomic constraints

Cites Work

• Quadratically cubic Burgers' equation as exactly solvable model of mathematical physics
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