Long-Time Asymptotics of a Three-Component Coupled mKdV System

Long-Time Asymptotics of a Three-Component Coupled mKdV System

We present an application of the nonlinear steepest descent method to a three-component coupled mKdV system associated with a 4 × 4 matrix spectral problem. An integrable coupled mKdV hierarchy with three potentials is first generated. Based on the corresponding oscillatory Riemann-Hilbert problem,...

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Veröffentlicht in:Mathematics (Basel) 2019-07, Vol.7 (7), p.573
1. Verfasser: Ma, Wen-Xiu
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Cauchy problems
Food science
integrable hierarchy
long-time asymptotics
Riemann-Hilbert problem
Steepest descent method
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Zusammenfassung:We present an application of the nonlinear steepest descent method to a three-component coupled mKdV system associated with a 4 × 4 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.
ISSN:2227-7390
2227-7390
DOI:10.3390/math7070573