Riemann–Hilbert Problems and Soliton Solutions of Type (<inline-formula><math display="inline"><semantics><mrow><msup><mi>λ</mi><mo>∗</mo></msup></mrow></semantics></math></inline-formula>, <inline-formula><math display="inline"><semantics><mrow><mo>−</mo><msup><mi>λ</mi><mo>∗</mo></msup></mrow></semantics></math></inline-formula>) Reduced Nonlocal Integrable mKdV Hierarchies

Riemann–Hilbert Problems and Soliton Solutions of Type (<inline-formula><math display="inline"><semantics><mrow><msup><mi>λ</mi><mo>∗</mo></msup></mrow></semantics></math></inline-formula>, <inline-formula><math display="inline"><semantics><mrow><mo>−</mo><msup><mi>λ</mi><mo>∗</mo></msup></mrow></semantics></math></inline-formula>) Reduced Nonlocal Integrable mKdV Hierarchies

Reduced nonlocal matrix integrable modified Korteweg–de Vries (mKdV) hierarchies are presented via taking two transpose-type group reductions in the matrix Ablowitz–Kaup–Newell–Segur (AKNS) spectral problems. One reduction is local, which replaces the spectral parameter <inline-formula><mat...

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Bibliographic Details
Main Author: Wen-Xiu Ma
Format: Article
Language:English
Published: MDPI AG 2022-03-01
Series:Mathematics
Subjects:
matrix spectral problem
zero curvature equation
group reduction
Riemann–Hilbert problem
soliton solution
Online Access:https://www.mdpi.com/2227-7390/10/6/870

Internet

https://www.mdpi.com/2227-7390/10/6/870

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