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非线性Schrdinger方程是物理学中具有广泛应用的非线性模型之一. 本文采用相似变换, 将具有色散系数的(2+1)维非线性Schrdinger方程简化成熟知的Schrdinger方程, 进而得到原方程的有理解和一些空间孤子.
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关键词:
- 非线性Schrdinger方程 /
- 相似变换 /
- 有理解 /
- 孤子结构
The nonlinear Schrdinger equation is one of the most important nonlinear models with widely applications in physics. Based on a similarity transformation, the (2+1)-dimensional nonlinear Schrdinger equation with distributed coefficients is transformed into a traceable nonlinear Schrdinger equation, and then two types of rational solutions and several spatial solitons are derived.-
Keywords:
- nonlinear Schrdinger equation /
- similarity transformation /
- rational solution /
- soliton structure







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