A nonlinear generalization of the famous Camassa-Holm model is investigated. Provided that initial value and satisfies an associated sign condition, it is shown that there exists a unique global weak solution to the equation in space in the sense of distribution, and .
"The Global Weak Solution for a Generalized Camassa-Holm Equation." Abstr. Appl. Anal. 2013 (SI17) 1 - 6, 2013. https://doi.org/10.1155/2013/838302