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Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars

Speaker:

范恩贵 教授, 复旦大学

Inviter:  
Title:
Long-time asymptotics of the solutions for the nonlocal mKdV equation
Time & Venue:
2018.5.18 20:00-21:00 N702
Abstract:

In this paper, we study the Cauchy problem with decaying initial data for the nonlocal modified Korteweg-de Vries equation (nonlocal mKdV). We first formulate the Riemann-Hilbert problem associated with the Cauchy problem of the nonlocal mKdV equation. Then we apply the Deift-Zhou nonlinear steepest-descent method to analyze the long-time asymptotics for the solution of the nonlocal mKdV equation. In contrast with the classical mKdV equation, we find some new and different results on long-time asymptotics for the nonlocal mKdV equation.

 

 

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