New Soliton Solutions to the Initial Value Problem for the Two-Component Short Pulse Equation - Journal of Applied Mathematics and Physics

JAMP > Vol.7 No.1, January 2019

Journal of Applied Mathematics and Physics

Volume 7, Issue 1 (January 2019)

ISSN Print: 2327-4352 ISSN Online: 2327-4379

Google-based Impact Factor: 1.00 Citations

New Soliton Solutions to the Initial Value Problem for the Two-Component Short Pulse Equation ()

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Download as PDF (Size: 431KB) PP. 13-22

DOI: 10.4236/jamp.2019.71002 818 Downloads 1,484 Views Citations

Author(s)

Yan Luo

Affiliation(s)

College of Science, University of Shanghai for Science and Technology, Shanghai, China.

ABSTRACT

We formulate a matrix Riemann-Hilbert problem to the initial value problem for the two-component system proposed by Matsuno. By solving the associated Riemann-Hilbert problem, we can get the soliton solutions of the two-component system. One and two soliton solutions are investigated in detail.

KEYWORDS

Riemann-Hilbert Problem, Two-Component Short Pulse Equation, Soliton Solutions

Share and Cite:

Luo, Y. (2019) New Soliton Solutions to the Initial Value Problem for the Two-Component Short Pulse Equation. Journal of Applied Mathematics and Physics, 7, 13-22. doi: 10.4236/jamp.2019.71002.

Cited by

[1]	Bäcklund transformation and nonlinear superposition formula for the two-component short pulse equation
	Journal of Physics A: Mathematical and …, 2022

[2]	Integrability Tests and Some New Soliton Solutions of an Extended Potential Boiti-Leon-Manna-Pempinelli Equation
	Journal of Applied Mathematics and Physics, 2022

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