4.4 Article

A Riemann-Hilbert approach for the modified short pulse equation

Journal

APPLICABLE ANALYSIS
Volume 98, Issue 9, Pages 1646-1659

Publisher

TAYLOR & FRANCIS LTD
DOI: 10.1080/00036811.2018.1437418

Keywords

Modified short pulse equation; Riemann-Hilbert problem; long-time asymptotics; soliton solutions

Funding

  1. National Natural Science Foundation of China [11731014, 11471099]

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We present a Riemann-Hilbert approach for the modified short pulse equation on the line. This approach allows us to give a representation of the solution to the Cauchy problem, which can be efficiently used in studying its long-time behavior, also to describe the soliton solutions.

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