受迫KdV方程的空间不均匀性和非线性隧穿
Spacial inhomogeneity and nonlinear tunneling for the forced KdV equation
摘要：
研究了一类具有空间非齐次项的变系数强迫Korteweg-de Vries方程。在约束条件下，将该方程转化为双线性形式，得到了多孤子解。讨论了空间非均匀性对孤子速度、宽度和背景的影响。给出了该方程的非线性隧穿，其中孤子振幅可以被放大或压缩。我们的结果可能对流体和等离子体中的相关问题有一定的参考价值。
英文摘要：
A variable-coefficient forced Korteweg-de Vries equation with spacial inhomogeneity is investigated in this paper. Under constraints, this equation is transformed into its bilinear form, and multi-soliton solutions are derived. Effects of spacial inhomogeneity for soliton velocity, width and background are discussed. Nonlinear tunneling for this equation is presented, where the soliton amplitude can be amplified or compressed. Our results might be useful for the relevant problems in fluids and plasmas.
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