Journal
MATHEMATICAL MODELLING AND ANALYSIS
Volume 19, Issue 4, Pages 537-555Publisher
VILNIUS GEDIMINAS TECH UNIV
DOI: 10.3846/13926292.2014.960016
Keywords
regular perturbation analysis for a Hamiltonian system; geometric singular perturbation theory; traveling waves; perturbed generalized KdV equation
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Funding
- National Natural Science Foundation of China [11171115]
- Fundamental Research Funds for the Central Universities [2013ZM0115]
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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.
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