互易扩展mKdV方程一类移动边界问题的Ermakov-Painleve' II对称约化
Ermakov-Painleve' II Symmetry Reduction of a Class of Moving Boundary Problems for a Reciprocal Extended mKdV Equation
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中文总结 AI 辅助
该研究通过互易变换关联两类方程，利用Ermakov-Painleve' II对称约化求解互易扩展mKdV方程的一类Stefan型移动边界问题，得到其精确解
中文摘要 AI 辅助
应用互易变换将经典孤子mKdV的可积扩展与含源项的新型非线性演化方程关联，采用Ermakov-Painleve' II对称约化确定一类Stefan型相关移动边界问题的精确解
英文摘要
A reciprocal transformation is applied to link an integrable extension of the classical solitonic mKdV to a novel nonlinear evolution equation incorporating a source term. Application of Ermakov-Painleve' II symmetry reduction is made to determine the exact solution to a class of associated moving boundary problems of Stefan-type.
