Nonautonomous lump waves of a (3+1)-dimensional Kudryashov–Sinelshchikov equation with variable coefficients in bubbly liquids
| Autor: | Yinchuan Zhao, Feifan Wang, Min Li, Zhengran Hu, Zhong-Zhou Lan |
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| Rok vydání: | 2021 |
| Předmět: |
Physics
Applied Mathematics Mechanical Engineering Mathematical analysis One-dimensional space Aerospace Engineering Ocean Engineering Quadratic function 01 natural sciences Exponential function Nonlinear system Nonlinear Sciences::Exactly Solvable and Integrable Systems Control and Systems Engineering 0103 physical sciences Trigonometric functions Soliton Electrical and Electronic Engineering Dispersion (water waves) Nonlinear Sciences::Pattern Formation and Solitons 010301 acoustics Variable (mathematics) |
| Zdroj: | Nonlinear Dynamics. 104:4367-4378 |
| ISSN: | 1573-269X 0924-090X |
| DOI: | 10.1007/s11071-021-06570-5 |
| Popis: | In this paper, we study the (3+1)-dimensional variable-coefficient Kudryashov–Sinelshchikov (vc-KS) equation, which characterizes the evolution of nonautonomous nonlinear waves in bubbly liquids. The nonautonomous lump solutions of the vc-KS equation are produced via the Hirota bilinear technique. The characteristics of trajectory and velocity of this wave are analyzed with variable dispersion coefficients. Based on the positive quadratic function assumption, we further discuss two types of interactions between the soliton and lump under the periodic and exponential modulations. Then, we give the breathing lump waves showing the periodic oscillation behavior. Finally, we obtain the second-order nonautonomous lump solution, which also shows periodic interactions if we select trigonometric functions as the dispersion coefficients. |
| Databáze: | OpenAIRE |
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