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<p>This paper examines the existence of solitary and kink (anti-kink) wave solutions for a KP-MEW equation with damping. By applying geometric singular perturbation theory, the singularly perturbed system is converted into a regular system. Combined with bifurcation analysis, explicit conditions are established for the existence of such wave solutions. The resulting solitary and kink (anti-kink) waves represent previously unaddressed solutions that are not covered in previous literature.</p>

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Dynamics on Solitary Wave and Kink Wave Solutions for a KP-MEW Equation with Damping

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年4月18日

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  • Minzhi Wei,
  • Xinxin Liu

摘要

This paper examines the existence of solitary and kink (anti-kink) wave solutions for a KP-MEW equation with damping. By applying geometric singular perturbation theory, the singularly perturbed system is converted into a regular system. Combined with bifurcation analysis, explicit conditions are established for the existence of such wave solutions. The resulting solitary and kink (anti-kink) waves represent previously unaddressed solutions that are not covered in previous literature.