Soliton molecules of new (2+1)-dimensional Burgers-type equation
Institute of Optoelectronic Technology, Lishui University, 323000, Lishui, People’s Republic of China
2 Department of Mathematics, Lishui University, 323000, Lishui, People’s Republic of China
Accepted: 19 December 2021
Published online: 11 January 2022
The extended (2+1)-dimensional Burgers-type system is firstly constructed. The variable u is solved after introducing the traveling wave transformation, which includes D’Alembert-type wave solution. Then, the residual symmetry is presented and localized for this equation, and its finite transformation of the Lie point symmetry is obtained. Subsequently, one explicit solution is derived from an initial solution. Further, the multiple residual symmetries and n-th Bäcklund transformation are obtained. These conclusions contain the soliton solutions, in which exist their molecule structures. These features are all shown in the figures.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2022