Extended nonlinear Schrödinger equation with higher-order odd and even terms and its rogue wave solutions | Zendy

Adrian Ankiewicz | Zendy; Yan Wang | Zendy; S. Wabnitz | Zendy; Nail Akhmediev | Zendy

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Extended nonlinear Schrödinger equation with higher-order odd and even terms and its rogue wave solutions

Author(s) -

Adrian Ankiewicz,

Yan Wang,

S. Wabnitz,

Nail Akhmediev

Publication year - 2014

Publication title -

physical review e

Language(s) - English

Resource type - Journals

eISSN - 1550-2376

pISSN - 1539-3755

DOI - 10.1103/physreve.89.012907

Subject(s) - rogue wave , integrable system , order (exchange) , mathematics , soliton , nonlinear schrödinger equation , nonlinear system , lax pair , variable (mathematics) , wave equation , mathematical analysis , mathematical physics , schrödinger equation , physics , quantum mechanics , finance , economics

We consider an extended nonlinear Schroeodinger equation with higher-order odd (third order) andeven (fourth order) terms with variable coecients. The resulting equation has soliton solutionsand approximate rogue wave solutions. We present these solutions up to second order. Moreover,specic constraints on the parameters of higher-order terms provide integrability of the resultingequation, providing a corresponding Lax pair. Particular cases of this equation are the Hirota, andLakshmanan - Porsezian - Daniel (LPD) equations. The resulting integrable equation admits exactrogue wave solutions. In particular cases, mentioned above, these solutions are reduced to the roguewaves solutions of the corresponding equations

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