Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics · 1998 · 39 citations · 29 references
Natural SciencesMathematicsPhysicsDifferential EquationsMathematical PhysicsTheoretical PhysicsIntegrable SystemsPartial Differential EquationsSystems Of Differential EquationsAnalytical SolutionsDarboux TransformationsIntegrable Partial Differential Equations
A new form of a binary Darboux transformation is used to generate solutions of a nonlinear Liouville-von Neumann equation following from a Nambu-type formalism. A general theory is illustrated by an explicit example.
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Nonlinear-Evolution Equations of Physical Significance
Mark J. Ablowitz, D. J. Kaup, Alan C. Newell et al. · Physical Review Letters · 1973 · 1.1K citations
Hamiltonian description of the ideal fluid
P. Morrison · Reviews of Modern Physics · 1998 · 852 citations · Full text