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arXiv · 1901.02828

Multi-place nonlocal systems

S. Y. Lou
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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.

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S. Y. Lou. 2019-01-09. Multi-place nonlocal systems. https://doi.org/10.1088/1572-9494%2Fab770b

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