Chinese Physics Letters · 2006 · 31 citations · 4 references
Exact Homoclinic OrbitsEven ConstraintTopological SolitonBoussinesq EquationPeriodic Soliton SolutionOscillation TheoryGeometric Singular Perturbation TheoryBifurcation TheoryPeriodic Travelling WaveIntegrable System
The exact homoclinic orbits and periodic soliton solution for the Boussinesq equation are shown. The equilibrium solution u0 = −1/6 is a unique bifurcation point. The homoclinic orbits and solitons will be interchanged with the solution varying from one side of -1/6 to the other side. The solution structure may be understood preliminary.
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