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arxiv: 1706.07961 · v1 · pith:UYFOI7XCnew · submitted 2017-06-24 · 🌊 nlin.SI

A New form of Kr\"onecker product-Lax pair and coupled systems

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keywords formoneckerpairsystemsactuallybi-hamiltoniancoupledequation
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A new method is proposed to generate nonlinear integrable systems by starting with existing Lax pair and a new form of Kr\"onecker product. It is observed that such equation can be generated with the help of a Hamiltonian structure. Actually they are all bi-Hamiltonian. A few explicit form of such equations are given also

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