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A note on wave-breaking criteria for the Fornberg-Whitham equation

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Abstract

In this note, we study the wave breaking phenomena for the Fornberg-Whitham equation. By virtue of \(L^2\)-conservation law of solutions, we establish a new wave-breaking criterion for this equation.

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Acknowledgements

This work was supported by the Scientific Research Fund of Hunan Provincial Education Department (No.21A0414).

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Authors and Affiliations

  1. Department of Mathematics and Physics, Anqing Normal University, Anqing, 246133, People’s Republic of China

    Xijun Deng

  2. Department of Mathematics and Physics, Hunan University of Arts and Science, Changde, 415000, People’s Republic of China

    Xijun Deng

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  1. Xijun Deng
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Correspondence to Xijun Deng.

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Communicated by Adrian Constantin.

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Deng, X. A note on wave-breaking criteria for the Fornberg-Whitham equation. Monatsh Math 202, 93–102 (2023). https://doi.org/10.1007/s00605-022-01775-1

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