MATH 8501 - Nonlinear Wave Phenomena

(3) KdV-equation, regularized long wave BBM-equation, explicit solitary and cnoidal waves, orbital stability of solitary and cnoidal waves, Boussinesq equation, B oussinesq systems of equations, pseudo differential equations as internal wave models, Krasnosell’skii’s topological degree theory, P.L. Lions’ concentration-compactness principle, existence and stability of traveling waves.