Project supported by the National Natural Science Foundation of China (Grant Nos 10735030, 10547124, 90503006 and 40305009);the National Basic Research Program of China (Grant Nos 2007CB814800 and 2005CB422301);Specialized Research Fund for the Doctoral Program of Higher Education (Grant No 20070248120);Program for Changjiang Scholars and Innovative Research Team in University (Grant No IRT0734);the Scientific Research Starting Foundation for Returned Overseas Chinese Scholars, Ministry of Education, China;the Program for New Century Excellent Talents in University of Ministry of Education of China (Grant No NCET-05-0591)
Variable coefficient nonlinear systems, the Korteweg de Vries (KdV), the modified KdV (mKdV) and the nonlinear Schrǒdinger (NLS) type equations, are derived from the nonlinear inviscid barotropic nondivergent v...
the National Natural Science Foundation of China (10475055,10547124 and 90503006);the Hong Kong Research Grant Council Contract HKU 7123/05E.
Shallow water waves and a host of long wave phenomena are commonly investigated by various models of nonlinear evolution equations. Examples include the Korteweg-de Vries, the Camassa-Holm, and the Whitham-Broer-Kaup ...