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  1. Article

    Open Access

    From one to infinity: symmetries of integrable systems

    Integrable systems constitute an essential part of modern physics. Traditionally, to approve a model is integrable one has to find its infinitely many symmetries or conserved quantities. In this letter, taking...

    S. Y. Lou, Man Jia in Journal of High Energy Physics (2024)

  2. Article

    Open Access

    Deformation conjecture: deforming lower dimensional integrable systems to higher dimensional ones by using conservation laws

    Utilizing some conservation laws of (1+1)-dimensional integrable local evolution systems, it is conjectured that higher dimensional integrable equations may be regularly constructed by a deformation algorithm....

    S. Y. Lou, **a-zhi Hao, Man Jia in Journal of High Energy Physics (2023)

  3. Article

    Open Access

    Duality of positive and negative integrable hierarchies via relativistically invariant fields

    It is shown that the relativistic invariance plays a key role in the study of integrable systems. Using the relativistically invariant sine-Gordon equation, the Tzitzeica equation, the Toda fields and the seco...

    S. Y. Lou, X. B. Hu, Q. P. Liu in Journal of High Energy Physics (2021)

  4. No Access

    Article

    Bosonization, singularity analysis, nonlocal symmetry reductions and exact solutions of supersymmetric KdV equation

    Assuming that there exist at least two fermionic parameters, the classical \( \mathcal{N}=1 \) supersymmetric Korteweg-...

    **ao Nan Gao, S. Y. Lou, **ao Yan Tang in Journal of High Energy Physics (2013)