Abundant exact analytical solutions and novel interaction phenomena of the generalized (3+1)-dimensional shallow water equation

• Main Authors: Wang Xiaomin, Bilige Sudao, Feng Yueyang
• Format: Article
• Language: English
• Published: VINCA Institute of Nuclear Sciences 2021-01-01
• Series: Thermal Science
• Subjects: exact analytical solution; high-order lump-type solution; interaction solution; generalized bilinear method; generalized (3+1)-d shallow water equation
• Online Access: http://www.doiserbia.nb.rs/img/doi/0354-9836/2021/0354-98362100103W.pdf
• ISSN: 0354-9836; 2334-7163

This paper reveals abundant exact analytical solutions to the generalized (3+1)-D shallow water equation. The generalized bilinear method is used in the solution process and the obtained solutions include the high-order lump-type solutions, the three-wave solutions, the breather solutions. The interaction between the high-order lump-type solutions and the soliton solutions is also elucidated. These solutions have greatly enriched the generalized (3+1)-D shallow water equation in open literature.