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Traveling waves for an integrable higher order KdV type wave equations. (English) Zbl 1192.37100

MSC:
37K40 Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems
34C05 Topological structure of integral curves, singular points, limit cycles of ordinary differential equations
35Q53 KdV equations (Korteweg-de Vries equations)
76B15 Water waves, gravity waves; dispersion and scattering, nonlinear interaction
76B25 Solitary waves for incompressible inviscid fluids
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References:
[1] Chow S. N., Method of Bifurcation Theory (1981)
[2] DOI: 10.1016/0167-2789(95)00133-O · Zbl 1194.35363 · doi:10.1016/0167-2789(95)00133-O
[3] DOI: 10.1007/978-1-4612-1140-2 · Zbl 0515.34001 · doi:10.1007/978-1-4612-1140-2
[4] DOI: 10.1016/S0307-904X(00)00031-7 · Zbl 0985.37072 · doi:10.1016/S0307-904X(00)00031-7
[5] DOI: 10.1142/S0252959902000365 · Zbl 1011.35014 · doi:10.1142/S0252959902000365
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[9] DOI: 10.1063/1.1514387 · Zbl 1060.35127 · doi:10.1063/1.1514387
[10] DOI: 10.1016/S0960-0779(01)00211-9 · Zbl 1068.76011 · doi:10.1016/S0960-0779(01)00211-9
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