most citedThe higher order Rogue Wave solutions of the Gerdjikov-Ivanov equation

113 citations · 193 across the 5 of their papers we have counts for

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5 papers

nlin.SI2014★ 5 cited

Higher-order rogue wave dynamics for a derivative nonlinear Schrödinger equation

Yongshuai Zhang, Lijuan Guo, Amin Chabchoub +1

The the mixed Chen-Lee-Liu derivative nonlinear Schrödinger equation (CLL-NLS) can be considered as simplest model to approximate the dynamics of weakly nonlinear and dispersive wa…

nlin.SI2014★ 11 cited

Darboux transformation of the second-type derivative nonlinear Schrödinger equation

Y. S. Zhang, L. J. Guo, J. S. He +1

The second-type derivative nonlinear Schrödinger (DNLSII) equation was introduced as an integrable model in 1979. Very recently, the DNLSII equation has been shown by an experiment…

nlin.SI2014★ 59 cited

Theoretical and experimental evidence of non-symmetric doubly localized rogue waves

Jingsong He, Lijuan Guo, Yongshuai Zhang +1

We present determinant expressions for vector rogue wave solutions of the Manakov system, a two-component coupled nonlinear Schrödinger equation. As special case, we generate a fam…

nlin.SI2013★ 113 cited

The higher order Rogue Wave solutions of the Gerdjikov-Ivanov equation

Lijuan Guo, Yongshuai Zhang, Shuwei Xu +2

We construct higher order rogue wave solutions for the Gerdjikov-Ivanov equation explicitly in term of determinant expression. Dynamics of both soliton and non-soliton solutions is…

nlin.SI2013★ 5 cited

The hierarchy of higher order solutions of the derivative nonlinear Schrödinger equation

Yongshuai Zhang, Lijuan Guo, Shuwei Xu +2

In this paper, we provide a simple method to generate higher order position solutions and rogue wave solutions for the derivative nonlinear Schrödinger equation. The formulae of th…