The Extended KdV Equation: Augmented Lagrangian and Variational Solitary Waves with Applications to Dispersive Hydrodynamics

Saleh Baqer, Hamid Said

In this work, we extend the method of averaged Lagrangian to the study of the general second-order (non-conservative) extended Korteweg--de Vries equation, known as the eKdV equati…