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Periodic Loop Solutions and Their Limit Forms for the Kudryashov-Sinelshchikov Equation

机译:Kudryashov-Sinelshchikov方程的周期环解及其极限形式

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摘要

The Kudryashov-Sinelshchikov equation is studied by using the bifurcation method of dynamical systems and the method of phase portraits analysis. We show that the limit forms of periodic loop solutions contain loop soliton solutions, smooth periodic wave solutions, and periodic cusp wave solutions. Also, some new exact travelling wave solutions are presented through some special phase orbits.
机译:利用动力学系统的分叉法和相像分析法研究了Kudryashov-Sinelshchikov方程。我们表明,周期环解的极限形式包含环孤子解,光滑周期波解和周期尖波解。此外,通过一些特殊的相位轨道,提出了一些新的精确行波解。

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  • 来源
    《Mathematical Problems in Engineering》 |2012年第4期|p.320163.1-320163.10|共10页
  • 作者单位

    College of Mathematics, Honghe University, Mengzi, Yunnan 661100, China;

    Department of Physics, Honghe University, Mengzi, Yunnan 661100, China;

    College of Mathematics, Honghe University, Mengzi, Yunnan 661100, China;

    College of Mathematics, Honghe University, Mengzi, Yunnan 661100, China;

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