Photo by pawel_czerwinski from unsplash
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… Click to show full abstract
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.
Keywords:
modified camassa;
camassa holm;
conservative solutions;
globally conservative;
moch equation;
equation
Journal Title: Journal of Mathematical Physics
Year Published: 2021
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!
Journal Title: Journal of Mathematical Physics
Year Published: 2021
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!