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- W3020495364 abstract "Boussinesq方程是流体力学等领域一个非常重要的方程. 本文推导了Boussinesq方程的Lax对. 借助于截断Painleve展开, 得到了Boussinesq方程的自Backlund变换, 以及Boussinesq方程和Schwarzian形式的Boussinesq方程之间的Backlund变换. 探讨了Boussinesq方程的非局域对称, 研究了Boussinesq方程的单参数群变换和单参数子群不变解. 运用Riccati展开法研究了Boussinesq方程, 证明Boussinesq方程具有Riccati展开相容性, 得到了Boussinesq方程的孤立波-椭圆余弦波解." @default.
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- W3020495364 date "2020-01-01" @default.
- W3020495364 modified "2023-10-16" @default.
- W3020495364 title "The Boussinesq equation: Lax pair, Bäcklund transformation, symmetry group transformation and consistent Riccati expansion solvability" @default.
- W3020495364 doi "https://doi.org/10.7498/aps.69.20191316" @default.
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