2020
DOI: 10.3934/era.2020081
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Global weak solutions for the two-component Novikov equation

Abstract: The two-component Novikov equation is an integrable generalization of the Novikov equation, which has the peaked solitons in the sense of distribution as the Novikov and Camassa-Holm equations. In this paper, we prove the existence of the H 1-weak solution for the two-component Novikov equation by the regular approximation method due to the existence of three conserved densities. The key elements in our approach are some a priori estimates on the approximation solutions.

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“…Over the last few years, various modifications and generalizations of the CH equation (1.1) have been introduced [4,5,27,39,45,55]. So it is of greatest to find such integrable CH-type equations with cubic and higher-order nonlinearity.…”
mentioning
confidence: 99%
“…Over the last few years, various modifications and generalizations of the CH equation (1.1) have been introduced [4,5,27,39,45,55]. So it is of greatest to find such integrable CH-type equations with cubic and higher-order nonlinearity.…”
mentioning
confidence: 99%