Orbital Stability of Solitary Traveling Waves of Moderate Amplitude
Orbital Stability of Solitary Traveling Waves of Moderate Amplitude
We consider the orbital stability of solitary traveling wave solutions of an equation describing the free surface waves of moderate amplitude in the shallow water regime. Firstly, we rewrite this equation in Hamiltonian form and construct two invariants of motion. Then using the abstract stability theorem of solitary waves proposed …