\(N\)-dimensional auto-Bäcklund transformation and exact solutions to \(n\)-dimensional Burgers system

DOI10.1016/j.aml.2016.07.019zbMath1348.35012arXiv1607.07208OpenAlexW2750523138MaRDI QIDQ311742

Xiangzheng Li, Jin-Liang Zhang, Ming-Liang Wang

Publication date: 13 September 2016

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

Full work available at URL: https://arxiv.org/abs/1607.07208

zbMATH Keywords

exact solution\(n\)-dimensional auto-BT\(n\)-dimensional BT\(n\)-dimensional Cole-Hopf transformationSHB

Mathematics Subject Classification ID

Transform methods (e.g., integral transforms) applied to PDEs (35A22) Solutions to PDEs in closed form (35C05) Correspondences and other transformation methods (e.g., Lie-Bäcklund) for PDEs on manifolds (58J72)

Related Items (8)

Lump, lumpoff and predictable rogue wave solutions to the (2+1)-dimensional asymmetrical Nizhnik-Novikov-Veselov equation ⋮ Soliton-like solutions of general variable coefficient (2+1)-dimensional KdV equation with linear damping term ⋮ Two-soliton solution to a generalized KP equation with general variable coefficients ⋮ Analytic rogue wave solutions for a generalized fourth‐order Boussinesq equation in fluid mechanics ⋮ Decay mode solution of nonlinear boundary-initial value problems for the cylindrical (spherical) Boussinesq-Burgers equations ⋮ The generalized Cole-Hopf transformation to a general variable coefficient Burgers equation with linear damping term ⋮ The generalized Cole-Hopf transformation for a generalized Burgers-Fisher equation with spatiotemporal variable coefficients ⋮ A high-order compact finite difference scheme and precise integration method based on modified Hopf-Cole transformation for numerical simulation of \(n\)-dimensional Burgers' system

Cites Work

• Regularity of solutions for the critical \(N\)-dimensional Burgers' equation
• The Hopf-Cole transformation, topological solitons and multiple fusion solutions for the \(n\)-dimensional Burgers system
• The Burgers equation under deterministic and stochastic forcing
• Solitary wave solutions for variant Boussinesq equations
• Exact solutions for a compound KdV-Burgers equation
• Application of a homogeneous balance method to exact solutions of nonlinear equations in mathematical physics

This page was built for publication: \(N\)-dimensional auto-Bäcklund transformation and exact solutions to \(n\)-dimensional Burgers system