Multi-place nonlocal systems
Exactly Solvable and Integrable Systems
2024-06-04 v1 Mathematical Physics
math.MP
Pattern Formation and Solitons
Abstract
Two-place nonlocal systems have attracted many scientists' attentions. In this paper, two-place non-localities are extended to multi-place non-localities. Especially, various two-place and four-place nonlocal nonlinear Schrodinger (NLS) systems and Kadomtsev-Petviashvili (KP) equations are systematically obtained from the discrete symmetry reductions of the coupled local systems. The Lax pairs for the two-place and four-place nonlocal NLS and KP equations are explicitly given. Some types of exact solutions especially the multiple soliton solutions for two-place and four-place KP equations are investigated by means of the group symmetric-antisymmetric separation approach.
Cite
@article{arxiv.1901.02828,
title = {Multi-place nonlocal systems},
author = {S. Y. Lou},
journal= {arXiv preprint arXiv:1901.02828},
year = {2024}
}
Comments
26 pages