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Tian, S.F. and Zhang, H.Q. (2010) Riemann Theta Functions Periodic Wave Solutions and Rational Characteristics for the Nonlinear Equations. Journal of Mathematical Analysis and Applications, 371, 585-608.
https://doi.org/10.1016/j.jmaa.2010.05.070

has been cited by the following article:

• 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.