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Doronin, G.G. and Larkin, N.A. (2007) Kawahara Equation in a Quarter-Plane and in a Finite Domain. Boletim da Sociedade Paranaense de Matemática, 3, 9-16.

has been cited by the following article:

• TITLE: Existence for a Higher Order Coupled System of Korteweg-de Vries Equations

  AUTHORS: Min Liu

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

  JOURNAL NAME: Applied Mathematics, Vol.12 No.4, April 19, 2021

  ABSTRACT: Consider the following system of coupled Korteweg-de Vries equations, where u, v⊆ W2,2, 2≤N≤7and λi,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.