首页|Nonlocal integrable mKdV equations by two nonlocal reductions and their soliton solutions

Nonlocal integrable mKdV equations by two nonlocal reductions and their soliton solutions

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We conduct two nonlocal group reductions of the AKNS matrix spectral problems to generate a class of nonlocal reverse-spacetime integrable mKdV equations. One reduction replaces the spectral parameter with its negative complex conjugate while the other does not change the spectral parameter. Beginning with the specific distribution of eigenvalues, we construct soliton solutions by solving the corresponding generalized Riemann-Hilbert problems with the identity jump matrix, where eigenvalues could equal adjoint eigenvalues. (C)& nbsp;2022 Elsevier B.V. All rights reserved.

Matrix spectral problemNonlocal integrable equationmKdV equationsRiemann-Hilbert problemSoliton solutionRIEMANN-HILBERT APPROACHDE-VRIES EQUATIONINVERSE SCATTERINGDYNAMICS

Ma, Wen-Xiu

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Zhejiang Normal Univ

2022

Journal of geometry and physics

Journal of geometry and physics

SCI
ISSN:0393-0440
年,卷(期):2022.177
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