https://doi.org/10.1140/epjp/s13360-025-06602-8
Regular Article
Integrability and exact solutions of the non-isospectral KP equation with binary Bell polynomials approach
1
Department of Basic Courses, SuZhou City University, 215104, Suzhou, China
2
School of Mathematics Sciences, SuZhou University of Science and Technology, 215009, Suzhou, China
Received:
24
April
2025
Accepted:
29
June
2025
Published online:
15
July
2025
In this paper, we systematically investigate the integrability and exact solutions of the non-isospectral KP equation using the binary Bell polynomials. The bilinear form, bilinear B
cklund transformation and Lax pair are obtained quickly and naturally. Based on the Lax pair, the infinite conservation laws are also derived, with all conserved densities and fluxes expressed through explicit recursion formulas. Furthermore, we present explicit soliton solutions visualized through corresponding three-dimensional plots and heat maps, providing vivid depictions of solitary wave propagation.
© The Author(s) 2025
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