Journal
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Volume 471, Issue 1-2, Pages 796-811Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jmaa.2018.11.014
Keywords
Inverse scattering transform; Riemann-Hilbert problem; Soliton solution
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Funding
- NSFC [11371326, 11301331, 11371086]
- NSF [DMS-1664561]
- Natural Science Fund for Colleges and Universities of Jiangsu Province [17KJB110020]
- Emphasis Foundation of Special Science Research on Subject Frontiers of CUMT [2017XKZD11]
- Shanghai University of Electric Power
- Shanghai Polytechnic University
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The inverse scattering transform is developed for a combined modified Korteweg de Vrie equation through the technique of Riemann Hilbert problems. From special Riemann Hilbert problems with an identity jump matrix, soliton solutions are generated, which corresponds to the inverse scattering problems with reflectionless coefficients. A specific example of two-soliton solutions is explicitly presented, together with its 3d plots, contour plots and x-curve plots. (C) 2018 Elsevier Inc. All rights reserved.
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