School of Mathematical and Statistical Sciences Faculty Publications and Presentations
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.
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
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J Nonlinear Math Phys
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