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math-ph2019★ 2 cited
Integrable Hamiltonian Hierarchies and Lagrangian 1-Forms
Chisanupong Puttarprom, Worapat Piensuk, Sikarin Yoo-Kong
We present further developments on the Lagrangian 1-form description for one-dimensional integrable systems in both discrete and continuous levels. A key feature of integrability i…
math-ph2018★ 18 cited
Quantum resonant systems, integrable and chaotic
Oleg Evnin, Worapat Piensuk
Resonant systems emerge as weakly nonlinear approximations to problems with highly resonant linearized perturbations. Examples include nonlinear Schroedinger equations in harmonic…