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.
KeywordsSystem of Korteweg-de Vries EquationsNormalized Vector Solitary WavesVariation Approach
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