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Multi-soliton solutions of the two-dimensional matrix Davey-Stewartson equation

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arxiv hep-th/9612107 v2 pith:EG5UOVFF submitted 1996-12-10 hep-th

classification hep-th
keywords solutionsmatrixdavey-stewartsonequationchaindimensionalendsequations
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abstract

We explicitly obtain the $m$-soliton solutions of the (1+2)-dimensional matrix Davey-Stewartson equation from the known general solution of the matrix Toda chain with fixed ends. We write these solutions in terms of $m+m$ independent solutions of a pair of linear Shr\"odinger equations with Hermitian potentials.

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  1. The soliton nature of the super-Klein tunneling effect

    hep-th 2026-02 accept novelty 7.0 of 10

    DS II breather profiles become the potentials and mass terms of planar Dirac Hamiltonians with omnidirectional perfect transmission, yielding a three-parameter SKT family with embedded bound states.

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