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arXiv · 1812.02263

Integrable (3+1)-dimensional system with an algebraic Lax pair

A. Sergyeyev
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Abstract

We present a first example of an integrable (3+1)-dimensional dispersionless system with nonisospectral Lax pair involving algebraic, rather than rational, dependence on the spectral parameter, thus showing that the class of integrable (3+1)-dimensional dispersionless systems with nonisospectral Lax pairs is significantly more diverse than it appeared before. The Lax pair in question is of the type recently introduced in [A. Sergyeyev, Lett. Math. Phys. 108 (2018), no. 2, 359-376, arXiv:1401.2122 ].

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A. Sergyeyev. 2018-12-05. Integrable (3+1)-dimensional system with an algebraic Lax pair. https://doi.org/10.1016/j.aml.2019.01.026

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