<p>This paper concerns the monotonicity of limit wave speed <i>c</i><sub>0</sub>(<i>h</i>) for the perturbed gKdV equation with general even <i>m</i>. We show that <i>c</i><sub>0</sub>(<i>h</i>) is decreasing. Our results give partial answer to the open problem presented by Yan et al. (Math. Model. Anal., 19, 537–555, 2014).</p>

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Monotonicity of limit wave speed for the perturbed gKdV equation with general even m

  • Zhen-shu Wen

摘要

This paper concerns the monotonicity of limit wave speed c0(h) for the perturbed gKdV equation with general even m. We show that c0(h) is decreasing. Our results give partial answer to the open problem presented by Yan et al. (Math. Model. Anal., 19, 537–555, 2014).