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Long-time asymptotics for the Wadati-Konno-Ichikawa equation with the Schwartz initial data

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 نشر من قبل Shou-Fu Tian
 تاريخ النشر 2021
  مجال البحث فيزياء
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In this work, we investigate the long-time asymptotic behavior of the Wadati-Konno-Ichikawa equation with initial data belonging to Schwartz space at infinity by using the nonlinear steepest descent method of Deift and Zhou for the oscillatory Riemann-Hilbert problem. Based on the initial value condition, the original Riemann-Hilbert problem is constructed to express the solution of the Wadati-Konno-Ichikawa equation. Through a series of deformations, the original RH problem is transformed into a model RH problem, from which the long-time asymptotic solution of the equation is obtained explicitly.



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