Algebro-Geometric Solutions of a (2+1)-Dimensional Integrable Equation Associated with the Ablowitz-Kaup-Newell-Segur Soliton Hierarchy

Xiaohong Chen and Zine El Abiddine Fellah

Advances in Mathematical Physics, 2022, vol. 2022, 1-8

Abstract: The (2+1)-dimensional Lax integrable equation is decomposed into solvable ordinary differential equations with the help of known (1+1)-dimensional soliton equations associated with the Ablowitz-Kaup-Newell-Segur soliton hierarchy. Then, based on the finite-order expansion of the Lax matrix, a hyperelliptic Riemann surface and Abel-Jacobi coordinates are introduced to straighten out the associated flows, from which the algebro-geometric solutions of the (2+1)-dimensional integrable equation are proposed by means of the Riemann θ functions.

Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlamp:4324648

DOI: 10.1155/2022/4324648

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