New solutions to the differential-difference KP equation

Authors

Xueru Wang
Junyi Zhu
Zhijun Qiao, The University of Texas Rio Grande ValleyFollow

Document Type

Article

Publication Date

3-2021

Abstract

In this paper, we study the differential-difference Kadomtsev–Petviashvili (DΔKP) equation through the dressing method based on a nonlocal ˉ∂-problem. Cauchy type determinant solution and a new type rational solution are given. The initial value problem of DΔKP is discussed by virtue of the quasi-local ˉ∂-problem. From an impulse initial condition, a new explicit solution to the initial value problem of DΔKP is obtained.

Comments

http://www.elsevier.com/open-access/userlicense/1.0/

Recommended Citation

Wang, Xueru, Junyi Zhu, and Zhijun Qiao. "New solutions to the differential-difference KP equation." Applied Mathematics Letters 113 (2021): 106836. https://doi.org/10.1016/j.aml.2020.106836

Publication Title

Applied Mathematics Letters

DOI

10.1016/j.aml.2020.106836