Derivative and higher order extensions of Davey-Stewartson equation from matrix KP hierarchy
Anjan Kundu, Walter Strampp
Abstract
It is shown that the matrix KP hierarchy can yield new integrable equations in (2+1)-dimensions along with the corresponding Lax pair. For particular gauge choice this may result derivative and also a higher order nonlinear extension of the Devay-Stewartson equation (DSE),the higher order DSE being a higher dimensional generalisation of the Kundu- Eckhaus equation. Such gauge transformation is shown also to produce significant extensions to the constrained matrix KP system.
Create a lesson
Related papers
Conformal field theory from automorphic forms on a quantum group
Dalimil Mazac
Anomaly effective actions for 4d N=1 superconformal field theories
Pantelis Panopoulos, Ioannis Papadimitriou
Exact Splitting of Amplitudes and One-Loop Integrands: A Classical Origin of Zeros
Yang Li, Laurentiu Rodina, Zhi-Zhen Wang
5-brane webs and generalised symmetries
Mohammad Akhond, Federico Carta, Sung-Soo Kim et al.
Form Factors in AdS from the Worldsheet
Luis F. Alday, Clément Virally, Xinan Zhou
Higher Integrability, Generalized Symmetries, and Partially Topological Field Theories
Luigi Alfonsi, Leron Borsten, Mehran Jalali Farahani et al.