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arXiv · 2412.14772

Multi-solitary waves for the one-dimensional Zakharov system

Guillaume Rialland
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Abstract

Given different speeds $c_1$ , ... , $c_K$, in the present paper we establish the existence of a solution to the Zakharov system in dimension 1 that behaves asymptotically like a $K$-solitary wave, each wave travelling with speed $c_k$. The proof is adapted from previous results for the NLS and gKdV equations.

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Guillaume Rialland. 2024-12-19. Multi-solitary waves for the one-dimensional Zakharov system. https://arxiv.org/abs/2412.14772

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