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SINGULARITY FORMATION FOR A NONLINEAR VARIATIONAL SINE-GORDON EQUATION IN A MULTIDIMENSIONAL SPACE

송경우|Qin Wang|Fengmei Qin
대한수학회 (The Korean Mathematical Society)|2023.11|대한수학회보 (Bulletin of the KMS)|제60권 제6호|pp. 1697-1704|DOI 10.4134/BKMS.b220859

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참고문헌

키워드

Singularityvariational wave equationdipole chain
주제분류수학

초록

We study a multidimensional nonlinear variational sine-Gor\-don equation, which can be used to describe long waves on a dipole chain in the continuum limit. By using the method of characteristics, we show that a solution of a nonlinear variational sine-Gordon equation with certain initial data in a multidimensional space has a singularity in finite time.

Abstract

We study a multidimensional nonlinear variational sine-Gor\-don equation, which can be used to describe long waves on a dipole chain in the continuum limit. By using the method of characteristics, we show that a solution of a nonlinear variational sine-Gordon equation with certain initial data in a multidimensional space has a singularity in finite time.

참고문헌 (16)

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