School of Mathematical and Statistical Sciences Faculty Publications and Presentations

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In this paper, we present the globally conservative solutions to the Cauchy problem for the modified Camassa–Holm (MOCH) equation. First, we transform the equation into an equivalent semi-linear system under new variables. Second, according to the standard ordinary differential equation theory with the aid of the conservation law, we give the global solutions of the semi-linear system. Finally, returning to the original variables, we obtain the globally conservative solutions to the MOCH equation.


© 2021 Author(s). Published under an exclusive license by AIP Publishing.

Publication Title

J. Math. Phys.



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Mathematics Commons



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