Yan Zhu , Lijuan Qin , Zhiqiang Yang , Zhenting Chen , Zhenyun Qin , Gui Mu
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引用次数: 0
Abstract
By means of the Hirota bilinear method together with the Kadomtsev–Petviashvili hierarchy reduction technique, general higher-order rogue wave solutions of the complex modified Korteweg–de Vries equation are derived explicitly. These solutions are expressed succinctly in terms of Gram determinants whose matrix elements are Schur polynomials. It is found that the highest peak amplitude of th-order rogue waves turns out to be times its background amplitude. The th-order rogue wave solutions contain the irreducible complex parameters. By selecting different values of these free parameters, the rich dynamic behaviors of rogue wave solutions of the complex modified Korteweg–de Vries equation are discovered.
Results in PhysicsMATERIALS SCIENCE, MULTIDISCIPLINARYPHYSIC-PHYSICS, MULTIDISCIPLINARY
CiteScore
8.70
自引率
9.40%
发文量
754
审稿时长
50 days
期刊介绍：
Results in Physics is an open access journal offering authors the opportunity to publish in all fundamental and interdisciplinary areas of physics, materials science, and applied physics. Papers of a theoretical, computational, and experimental nature are all welcome. Results in Physics accepts papers that are scientifically sound, technically correct and provide valuable new knowledge to the physics community. Topics such as three-dimensional flow and magnetohydrodynamics are not within the scope of Results in Physics.
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