Abstract—The analysis of water waves in general is an interesting study point in chemical and mechanical engineering. Ocean waves study is a branch of water wave models that has gained significant momentum in the last couple of decades. The paper investigates a phenomenon called “wave-breaking'' which is one of the most intriguing longstanding problems of water wave theory. A certain class of equations namely Camassa-Holm and Degasperis-Procesi is generalized and new results on existence are obtained.

Index Terms—Local existence, blow-up, b-family of equations.

Dr. Snehanshu Saha is with PES School of Engineering (Phone: +918066186622, e-mail: snehanshusaha@pes.edu).

Cite: Snehanshu Saha, "Some Results on the Analysis of Water Waves," International Journal of Applied Physics and Mathematics  vol. 2, no. 4, pp. 237-239, 2012.