School of Mathematical and Statistical Sciences Faculty Publications and Presentations
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.
Zhaonan Luo, Zhijun Qiao, and Zhaoyang Yin , "Globally conservative solutions for the modified Camassa–Holm (MOCH) equation", J. Math. Phys. 62, 091506 (2021) https://doi.org/10.1063/5.0048245
J. Math. Phys.
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