DYNAMICAL STABILITY OF THE TRAIN OF SMOOTH SOLITARY WAVES TO THE GENERALIZED TWO-COMPONENT CAMASSA-HOLM SYSTEM

摘要

The present study is concerned with the stability of solitary waves for the generalized two-component Camassa-Holm system derived formally as a model in the shallow-water waves. Using the property of almost monotonicity and the local coercivity of the solitary-wave solution, it is shown that the train of N-smooth solitary waves of this system is dynamically stable to perturbations in energy space with a range of parameters.