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Existence and nonexistence of solitary wave solutions to higher-order model evolution equations. (English) Zbl 0755.76023

MSC:
76B25 Solitary waves for incompressible inviscid fluids
76B15 Water waves, gravity waves; dispersion and scattering, nonlinear interaction
35Q51 Soliton equations
35Q53 KdV equations (Korteweg-de Vries equations)
35B25 Singular perturbations in context of PDEs
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