TITLE:
Integrability, Multi-Solitary Wave Solutions and Riemann Theta Functions Periodic Wave Solutions of the Newell Equation
AUTHORS:
Chunmei Fang
KEYWORDS:
The Newell Equation, Bäcklund Transformation, Lax Pair, Solitary Wave Solution, Periodic Wave Solution
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.10 No.2,
February
22,
2022
ABSTRACT: This paper systematically studies the complete integrability of the Newell equation. Using generalized Bell polynomials, the corresponding bilinear equation, bilinear Bäcklund transformation, Lax pair, and multi-shock wave solutions are successfully obtained. In addition, using the multidimensional Riemann theta functions, the periodic wave solutions of the Newell equation are constructed. On this basis, the asymptotic behavior of the periodic wave solution is given, which is the relationship between the periodic wave solution and the solitary wave solution.