Riemann-Hilbert approach of the complex Sharma-Tasso-Olver equation and its N-soliton solutions

doi:10.1088/1674-1056/ac960a

Abstract We study the complex Sharma-Tasso-Olver equation using the Riemann-Hilbert approach. The associated Riemann-Hilbert problem for this integrable equation can be naturally constructed by considering the spectral problem of the Lax pair. Subsequently, in the case that the Riemann-Hilbert problem is irregular, the N-soliton solutions of the equation can be deduced. In addition, the three-dimensional graphic of the soliton solutions and wave propagation image are graphically depicted and further discussed.

Keywords: complex Sharma-Tasso-Olver equation Riemann-Hilbert problem spectral problem soliton solutions

Received: 05 August 2022
Revised: 27 September 2022
Accepted manuscript online: 29 September 2022

PACS:	02.30.Rz	(Integral equations)
	02.30.Ik	(Integrable systems)
	02.30.Jr	(Partial differential equations)

Fund: Project supported by the National Natural Science Foundation of China (Grant No. 11975145), the Program for Science & Technology Innovation Talents in Universities of Henan Province, China (Grant No. 22HASTIT019), the Natural Science Foundation of Henan, China (Grant No. 202300410524), the Science and Technique Project of Henan, China (Grant No. 212102310397), the Academic Degrees & Graduate Education Reform Project of Henan Province, China (Grant No. 2021SJGLX219Y).

Corresponding Authors: Tiecheng Xia
E-mail: xiatc@shu.edu.cn

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Sha Li(李莎), Tiecheng Xia(夏铁成), and Hanyu Wei(魏含玉) Riemann-Hilbert approach of the complex Sharma-Tasso-Olver equation and its N-soliton solutions 2023 Chin. Phys. B 32 040203

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Riemann-Hilbert approach of the complex Sharma-Tasso-Olver equation and its N-soliton solutions

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