Exploring two-dimensional internal waves: A new three-coupled Davey–Stewartson system and physics-informed neural networks with weight assignment methods
A novel (2+1)-dimensional Sawada-Kotera type system is considered. The existence of three-soliton and four-soliton solutions with constraints on wave numbers is confirmed. Other intriguing solutions, such as the long-range interaction between a line soliton and a y-periodic soliton, are also presented based on the Hirota formalism. By extending the multilinear variable separation approach to the fifthorder nonlinear evolution equation, various localized excitations are introduced, including solitoff, dromion, and an instanton excited by three resonant dromions. In addition to these localized excitations, the general fusion or fission type N-solitary wave solution is obtained, and the resonant Y-shaped soliton and the resonant T -type soliton interaction in shallow water are explored graphically.
A novel (2+1)-dimensional Sawada-Kotera type system is considered. The existence of three-soliton and four-soliton solutions with constraints on wave numbers is confirmed. Other intriguing solutions, such as the long-range interaction between a line soliton and a y-periodic soliton, are also presented based on the Hirota formalism. By extending the multilinear variable separation approach to the fifthorder nonlinear evolution equation, various localized excitations are introduced, including solitoff, dromion, and an instanton excited by three resonant dromions. In addition to these localized excitations, the general fusion or fission type N-solitary wave solution is obtained, and the resonant Y-shaped soliton and the resonant T -type soliton interaction in shallow water are explored graphically.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.