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math-ph2015★ 38 cited
Lagrangian and Hamiltonian structures in an integrable hierarchy and space-time duality
Jean Avan, Vincent Caudrelier, Anastasia Doikou +1
We define and illustrate the novel notion of dual integrable hierarchies, on the example of the nonlinear Schrödinger (NLS) hierarchy. For each integrable nonlinear evolution equat…
math-ph2014★ 31 cited
A multisymplectic approach to defects in integrable classical field theory
V. Caudrelier, A. Kundu
We introduce the concept of multisymplectic formalism, familiar in covariant field theory, for the study of integrable defects in 1+1 classical field theory. The main idea is the c…