Decay mode solution of nonlinear boundary-initial value problems for the cylindrical (spherical) Boussinesq-Burgers equations

DOI10.1016/j.aml.2018.09.011zbMath1407.35033OpenAlexW2893310048WikidataQ129188134 ScholiaQ129188134MaRDI QIDQ1726560

Jin-Liang Zhang, Ming-Liang Wang

Publication date: 20 February 2019

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2018.09.011

zbMATH Keywords

nonlinear transformationsimplified homogeneous balance method

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35)

Related Items (2)

Soliton-like solutions of general variable coefficient (2+1)-dimensional KdV equation with linear damping term ⋮ The generalized Cole-Hopf transformation to a general variable coefficient Burgers equation with linear damping term

Cites Work

• Unnamed Item
• Unnamed Item
• Bilinear form and new multi-soliton solutions of the classical Boussinesq-Burgers system
• Decay mode solutions to cylindrical KP equation
• \(N\)-dimensional auto-Bäcklund transformation and exact solutions to \(n\)-dimensional Burgers system
• Lax pair, Bäcklund transformation and multi-soliton solutions for the Boussinesq-Burgers equations from shallow water waves
• On soliton solutions for Boussinesq-Burgers equations
• Darboux transformation and multi-soliton solutions of Boussinesq-Burgers equation
• An integrable lattice hierarchy based on suris system: \(N\)-fold Darboux transformation and conservation laws
• Two-soliton solution to a generalized KP equation with general variable coefficients
• A Riemann-Hilbert approach for a new type coupled nonlinear Schrödinger equations
• Lump solutions to nonlinear partial differential equations via Hirota bilinear forms
• Long-time asymptotics and the bright \(N\)-soliton solutions of the Kundu-Eckhaus equation via the Riemann-Hilbert approach
• Initial-boundary value problems associated with the Ablowitz-Ladik system
• CTE method to the interaction solutions of Boussinesq-Burgers equations
• Exact traveling wave solutions of the Boussinesq-Burgers equation
• Integrability and equivalence relationships of six integrable coupled Korteweg-de Vries equations

This page was built for publication: Decay mode solution of nonlinear boundary-initial value problems for the cylindrical (spherical) Boussinesq-Burgers equations