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Novel loop-like solitons for generalized Vakhnenko equation |
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| Authors: | Zhang Min Ma Yu-Lan Li Bang-Qing |
| Affiliation: | a School of Science, Beijing Technology and Business University, Beijing 100048, China;b School of Computer and Information Engineering, Beijing Technology and Business University, Beijing 100048, China |
| Abstract: | A nontraveling wave solution of a generalized Vakhnenko equation arising from the high-frequent wave motion in a relaxing medium is derived via the extended Riccati mapping method. The solution includes an arbitrary function of an independent variable. Based on the solution, two hyperbolic functions are chosen to construct new solitons. Novel single-loop-like and double-loop-like solitons are found for the equation. |
| Keywords: | generalized Vakhnenko equation extended Riccati mapping method nontraveling wave solution loop-like soliton |
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