Cnoidal Wave Trains and Solitary Waves in a Dissipation-Modified Korteweg-de Vries Equation

摘要

A generalization of the Korteweg-de Vries equation incorporating an energy input-output balance, hence a dissipation-modified KdV equation is considered. The equation is relevant to describe, for inslance,nonlinear Marangoni-BiSnard oscillalory instability in a liquid layer heated from above. Cnoidal waves and solitary waves of. this equation are obtained both asymptotically and numerically.