Existence of Solitary Waves and Periodic Waves to a Perturbed Generalized KdV Equation
DOI: https://doi.org/10.3846/13926292.2014.960016Abstract
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.
Keywords:
perturbed generalized KdV equation, traveling waves, geometric singular perturbation theory, regular perturbation analysis for a Hamiltonian systemHow to Cite
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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Copyright (c) 2014 The Author(s). Published by Vilnius Gediminas Technical University.
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2014-09-01
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Copyright
Copyright (c) 2014 The Author(s). Published by Vilnius Gediminas Technical University.
License
This work is licensed under a Creative Commons Attribution 4.0 International License.
How to Cite
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