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- Title
Lax integrability and exact solutions of the generalized (3+1) dimensional Ito equation.
- Authors
Shen, Tuoping; Bao, Taogetusang
- Abstract
This article introduces a generalized (3+1) dimensional integrable Ito equation based on relevant literatures. Firstly, the bilinear form of the equation is obtained by Bell polynomial method, and various forms of Bäcklund transformations, Lax pair and infinite conservation laws of the equation are obtained, proving that the equation is integrable in the Lax sense. Secondly, using the trial function method and the mathematical calculation software Mathematica, various solutions of the equation are constructed, including N-soliton solutions, one-order breather wave solution and Lump-Type solution. Finally, the interactions between various functional solutions are analyzed through the three-dimensional and contour plots of the solutions.
- Subjects
BACKLUND transformations; EQUATIONS; BILINEAR forms; CONSERVATION laws (Physics); MATHEMATICAL functions; LAX pair
- Publication
Nonlinear Dynamics, 2023, Vol 111, Issue 19, p18313
- ISSN
0924-090X
- Publication type
Article
- DOI
10.1007/s11071-023-08797-w