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Painleve solitons of AKNS system and irrational algebraic solitons of NLS equations
classical-physicsexactly-solvable-and-integrable-systemsmathematical-physicspattern-formation-and-solitons
A novel symmetry decomposition approach is introduced to derive the so-called ``Painlevé solitons'' of the Ablowitz-Kaup-Newell-Segur (AKNS) system. These Painlevé solitons propagate against a background governed by a Painlevé transcendent, establishing a fundamental generalization of the well-known
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