Burgers-Korteweg-de Vries equation and its traveling solitary waves

DOI10.1007/s11425-007-0007-6zbMath1361.34002OpenAlexW2123113164MaRDI QIDQ885567

Qingguo Meng, Zhao-sheng Feng

Publication date: 14 June 2007

Published in: Science in China. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-007-0007-6

zbMATH Keywords

Lie groupinfinitesimal generatortraveling wavePainlevé analysisautonomous systemBurgers-KdV equation

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) KdV equations (Korteweg-de Vries equations) (35Q53) Symmetries, invariants of ordinary differential equations (34C14) Explicit solutions, first integrals of ordinary differential equations (34A05) Soliton solutions (35C08)

Related Items (10)

The Lie group and integrability of the Fisher type travelling wave equation ⋮ A two-grid spectral method to study of dynamics of dense discrete systems governed by Rosenau-Burgers' equation ⋮ Explicit traveling wave solutions to nonlinear evolution equations ⋮ Explicit traveling wave solutions of five kinds of nonlinear evolution equations ⋮ Homoclinic Orbits and Solitary Waves within the Nondissipative Lorenz Model and KdV Equation ⋮ Explicit solutions to the \((3+1)\)-dimensional Kudryashov-Sinelshchikov equations in bubbly flow dynamics ⋮ Unnamed Item ⋮ Convergence of the Kuramoto-Sinelshchikov equation to the Burgers one ⋮ Time-dependent exact solutions for Rosenau-Hyman equations with variable coefficients ⋮ Dynamics of travelling waves to KdV-Burgers-Kuramoto equation with Marangoni effect perturbation

Uses Software

• ATFM

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