Boussinesq方程的经典李群分析及群不变解和行波解
Jilin Normal University Journal(Natural Science Edition)（2022）
Abstract
研究了Boussinesq方程的经典李群分析、群不变解及行波解.采用经典李群分析法获得了Boussinesq方程的李群分析、群不变解及约化方程.应用Burgers方程的约化变换方程及其精确解构造了φ(ξ)展式法,利用φ(ξ)展式法找到了Boussinesq方程的多种类型行波解.φ(ξ)展式法还可用于求解其他非线性偏微分方程.
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