Soliton, rational and special solutions of the Korteweg–de Vries hierarchy

Nikolai A. Kudryashov
2010 Applied Mathematics and Computation  
Solutions of the Korteweg -de Vries hierarchy are discussed. It is shown that results by Wazwaz [Wazwaz A.M. Multiple -soliton solutions of the perturbed KdV equation, Commun Nonlinear Sci Numer Simulat, 2010; 15911: 3270 -3273] are the well -known consequences of the full integrability for the Korteweg -de Vries hierarchy.
doi:10.1016/j.amc.2009.11.024 fatcat:y6codvzvwbamlal5jhkpccyhqa