Riemann-Hilbert approach and $N$-soliton solutions for a new four-component nonlinear Schr\"odinger equation

12 Jan 2020 Zhou Xin-Mei Tian Shou-Fu Yang Jin-Jie Mao Jin-Jin

A new four-component nonlinear Schr\"{o}dinger equation is first proposed in this work and studied by Riemann-Hilbert approach. Firstly, we derive a Lax pair associated with a $5\times5$ matrix spectral problem for the four-component nonlinear Schr\"{o}dinger equation... (read more)

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  • EXACTLY SOLVABLE AND INTEGRABLE SYSTEMS
  • MATHEMATICAL PHYSICS
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