In this paper, the existence of solitary waves and periodic waves to a perturbed generalized KdV equation is established by applying the geometric singular perturbation theory and the regular perturbation analysis for a Hamiltonian system. Moreover, upper and lower bounds of the limit wave speed are obtained. Some previous results are extended.
Yan, W., Liu, Z., & Liang, Y. (2014). Existence of Solitary Waves and Periodic Waves to a Perturbed Generalized KdV Equation. Mathematical Modelling and Analysis, 19(4), 537-555. https://doi.org/10.3846/13926292.2014.960016
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