Peaked Traveling Wave Solutions to a Generalized Novikov Equation with Cubic and Quadratic Nonlinearities |
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Authors: | LI Guo-Qin QU Chang-Zheng |
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Institution: | Center for Nonlinear Studies, Faculty of Science, Ningbo University, Ningbo 315211, China |
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Abstract: | The Camassa-Holm equation, Degasperis-Procesi equation and Novikov equation are the three typical integrable evolution equations admitting peaked solitons. In this paper, a generalized Novikov equation with cubic and quadratic nonlinearities is studied, which is regarded as a generalization of these three well-known studied equations. It is shown that this equation admits single peaked traveling wave solutions, periodic peaked traveling wave solutions, and multi-peaked traveling wave solutions. |
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Keywords: | generalized Novikov equation Camassa-Holm equation Degasperis-Procesi equation peakedtraveling wave solution |
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