Inverse Problems · 2006 · 15 citations · 26 references
Natural SciencesMathematicsPhysicsDifferential EquationsDynamical SystemsPhase TransformationsCanonical TransformationsSource TransformationsBäcklund Transformations
The B\"{a}cklund transformations between the constrained dispersionless KP hierarchy (cdKPH) and the constrained dispersionless mKP hieararchy (cdmKPH) and between the dispersionless KP hieararchy with self-consistent sources (dKPHSCS) and the dispersionless mKP hieararchy with self-consistent sources (dmKPHSCS) are constructed. The auto-B\"{a}cklund transformations for the cdmKPH and for the dmKPHSCS are also formulated.
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An Elementary Introduction to Sato Theory
Yasuhiro Ohta, Junkichi Satsuma, Daisuke Takahashi et al. · Progress of Theoretical Physics Supplement · 1988 · 243 citations · Full text