A Study on the Semi-Discrete KP Equation: Bilinear Bäcklund Transformation, Lax Pair and Periodic Solutions

  1. Chunxia Li
  2. Linshuo Wan
  3. Hongyan Wang
Read the full article See related articles

Discuss this preprint

Start a discussion What are Sciety discussions?

Listed in

This article is not in any list yet, why not save it to one of your lists.
Log in to save this article

Abstract

In this paper, we study the integrability and solution structure of the semi-discrete KP equation. We derive the bilinear Bäcklund transformation, Lax pair, and the nonlinear superposition formula of the semi-discrete KP equation. Periodic solutions are constructed by using Hirota’s method and Riemann theta functions. The asymptotic behavior of periodic solutions is analyzed and the connection between periodic solutions and soliton solutions is established.

Article activity feed

  1. Version published to 10.20944/preprints202510.1487.v1