On the Riemann–Hilbert problem of the matrix Lakshmanan–Porsezian–Daniel system with a $$4\times4$$ AKNS-type matrix Lax pair
Author:
Publisher
Pleiades Publishing Ltd
Subject
Mathematical Physics,Statistical and Nonlinear Physics
Link
https://link.springer.com/content/pdf/10.1134/S0040577922030047.pdf
Reference48 articles.
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2. K. Porsezian, M. Daniel, and M. Lakshmanan, “On the integrability aspects of the one-dimensional classical continuum isotropic Heisenberg spin chain,” J. Math. Phys., 33, 1807–1816 (1992).
3. H.-Q. Zhang, B. Tian, X.-H. Meng, X. Lu, and W.-J. Liu, “Conservation laws, soliton solutions and modulational instability for the higher-order dispersive nonlinear Schrödinger equation,” Eur. Phys. J. B, 72, 233–239 (2009).
4. L. H. Wang, K. Porsezian, and J. S. He, “Breather and rogue wave solutions of a generalized nonlinear Schrödinger equation,” Phys. Rev. E, 87, 053202, 10 pp. (2013); arXiv: 1304.8085.
5. L. Wang, J.-H. Zhang, Z.-Q. Wang, C. Liu, M. Li, F.-H. Qi, and R. Guo, “Breather-to-soliton transitions, nonlinear wave interactions, and modulational instability in a higher-order generalized nonlinear Schrödinger equation,” Phys. Rev. E, 93, 012214, 12 pp. (2016).
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