Journal
MATHEMATICS
Volume 7, Issue 7, Pages -Publisher
MDPI
DOI: 10.3390/math7070573
Keywords
integrable hierarchy; Riemann-Hilbert problem; long-time asymptotics
Categories
Funding
- NSFC [11371326, 11301331, 11371086]
- NSF [DMS-1664561]
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We present an application of the nonlinear steepest descent method to a three-component coupled mKdV system associated with a 4x4 matrix spectral problem. An integrable coupled mKdV hierarchy with three potentials is first generated. Based on the corresponding oscillatory Riemann-Hilbert problem, the leading asympototics of the three-component mKdV system is then evaluated by using the nonlinear steepest descent method.
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