Bi-Dbar-Approach for a Coupled Shifted Nonlocal Dispersionless System

Authors

Junyi Zhu
Kaiwen Shao
Zhijun Qiao, The University of Texas Rio Grande ValleyFollow

Document Type

Article

Publication Date

11-30-2022

Abstract

We propose a Bi-Dbar approach and apply it to the extended coupled shifted nonlocal dispersionless system. We introduce the nonlocal reduction to solve the coupled shifted nonlocal dispersionless system. Since no enough constraint conditions can be found to curb the norming contants in the Dbar data, the “solutions” obtained by the Dbar dressing method, in general, do not admit the coupled shifted nonlocal dispersionless system. In the Bi-Dbar approach to the extended coupled shifted nonlocal dispersionless system, the norming constants are free. The constraint conditions on the norming constants are determined by the general nonlocal reduction, and the solutions of the coupled shifted nonlocal dispersionless system are derived.

Comments

Copyright © 2022, The Author(s)

Recommended Citation

Zhu, J., Shao, K. & Qiao, Z. Bi-Dbar-Approach for a Coupled Shifted Nonlocal Dispersionless System. J Nonlinear Math Phys (2022). https://doi.org/10.1007/s44198-022-00092-3

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Publication Title

J Nonlinear Math Phys

DOI

10.1007/s44198-022-00092-3