Constructing the multicomponent coupling Davey–Stewardson (DS) hierarchy with pseudodifferential operator

Fajun Yu and Hongqing Zhang

Chaos, Solitons & Fractals, 2009, vol. 40, issue 4, 1867-1876

Abstract: Algebra of pseudodifferential operators for constructing the multicomponent Davey–Stewardson (DS) hierarchy of evolution equation is presented, then, we consider the Hamiltonian structure of the (1+2)-dimensional multicomponent DS equation hierarchy. Finally, the integrable coupling system of (1+2)-dimensional multicomponent DS hierarchy is obtained through enlarging matrix spectral problem.

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:40:y:2009:i:4:p:1867-1876

DOI: 10.1016/j.chaos.2007.09.069

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