XXXVII Workshop on Geometric Methods in Physics | 1-7.07.2018 |

VII School on Geometry and Physics | 25-29.06.2018 |

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## Pinaki Patra## Co-adjoint orbit for Some New Nonlinear EquationsThe formalism of Adler-Kostant-Symes is used along with some new Lie algebras to generate some new integrable nonlinear equations, where the usual space and time variables are interchanged. Their recursion operator and Bi-Hamiltonian structure are deduced. In the next part, an extension of the same Lie Algebra is utilized to construct an integrable coupling of this set with another. Incidentally, this new system also turns out to be Bi-Hamiltonian. |

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University of Bialystok |

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