Author(s)

Min Liu

College of Sciences, University of Shanghai for Science and Technology, Shanghai, China.

Consider the following system of coupled Korteweg-de Vries equations, where u, v ⊆ W^2,2, 2≤N≤7 and λ_i,β > 0, β denotes a real coupling parameter. Firstly, we prove the existence of the solutions of a coupled system of Korteweg-de Vries equations using variation approach and minimization techniques on Nehari manifold. Then, we show the multiplicity of the equations by a bifurcation theory which is rare for studying higher order equations.

System of Korteweg-de Vries Equations, Normalized Vector Solitary Waves, Variation Approach

Liu, M. (2021) Existence for a Higher Order Coupled System of Korteweg-de Vries Equations. Applied Mathematics, 12, 298-310. doi: 10.4236/am.2021.124021.