Integrability of a generalized (2+ 1)-dimensional soliton equation via Bell polynomials
C Li, M Zhu, D Wang, J Zhang, X Wang - Zeitschrift für angewandte …, 2023 - Springer
C Li, M Zhu, D Wang, J Zhang, X Wang
Zeitschrift für angewandte Mathematik und Physik, 2023•SpringerIn this paper, we focus on the integrability of a generalized (2+ 1)-dimensional equation with
three arbitrary constants. By using Bell polynomials, the Hirota bilinear form is derived, as
well as the N-soliton solutions are solved. Then the propagation and interaction of single
and double soliton solutions have been simulated graphically, and the properties of solitary
waves are well presented. By virtue of the Hirota bilinear form, the bilinear Bäcklund
transformation with two arbitrary real functions is obtained. Based on this, we consider the …
three arbitrary constants. By using Bell polynomials, the Hirota bilinear form is derived, as
well as the N-soliton solutions are solved. Then the propagation and interaction of single
and double soliton solutions have been simulated graphically, and the properties of solitary
waves are well presented. By virtue of the Hirota bilinear form, the bilinear Bäcklund
transformation with two arbitrary real functions is obtained. Based on this, we consider the …
Abstract
In this paper, we focus on the integrability of a generalized (2+1)-dimensional equation with three arbitrary constants. By using Bell polynomials, the Hirota bilinear form is derived, as well as the N-soliton solutions are solved. Then the propagation and interaction of single and double soliton solutions have been simulated graphically, and the properties of solitary waves are well presented. By virtue of the Hirota bilinear form, the bilinear Bäcklund transformation with two arbitrary real functions is obtained. Based on this, we consider the Lax pair and infinite conservation laws of this equation.
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