论文标题
“好'Boussinesq方程：长期渐近学
The "good'' Boussinesq equation: long-time asymptotics
论文作者
论文摘要
我们考虑了该行上的``好''boussinesq方程的初始值问题。使用逆散射技术，可以根据$ 3 \ times 3 $ -matrix riemann-hilbert问题的解决方案表示解决方案。我们通过对此Riemann-Hilbert问题的正则化版本进行Deift-Zhou最陡峭的下降分析来为解决方案的长期渐近分析建立公式。
We consider the initial-value problem for the ``good'' Boussinesq equation on the line. Using inverse scattering techniques, the solution can be expressed in terms of the solution of a $3 \times 3$-matrix Riemann-Hilbert problem. We establish formulas for the long-time asymptotics of the solution by performing a Deift-Zhou steepest descent analysis of a regularized version of this Riemann-Hilbert problem.
