Dynamics of the Smooth Positons of the Wadati-Konno-Ichikawa Equation*

DOI10.1088/0253-6102/69/3/227zbMath1391.35344OpenAlexW2791534542MaRDI QIDQ3177510

Yongshuai Zhang, Gaihua Wang, Jing-Song He

Publication date: 26 July 2018

Published in: Communications in Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0253-6102/69/3/227

zbMATH Keywords

phase shifttrajectorypositonWadati-Konno-Ichikawa equationbreather-positon

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items (6)

High-order breather, M-kink lump and semi-rational solutions of potential Kadomtsev–Petviashvili equation ⋮ The dynamics of the smooth positon and b-positon solutions for the NLS-MB equations ⋮ Hodograph transformation, various exact solutions and dynamical analysis for the complex Wadati-Konno-Ichikawa-II equation ⋮ The \(n\)-fold Darboux transformation for the Kundu-Eckhaus equation and dynamics of the smooth positon solutions ⋮ Nonlinear, nondispersive wave equations: Lagrangian and Hamiltonian functions in the hodograph transformation ⋮ The \(n\)th-order degenerate breather solution for the Kundu-Eckhaus equation

Cites Work

• Unnamed Item
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• Determinant representation of Darboux transformation for the AKNS system
• Positon-like solutions of nonlinear evolution equations in (2+1) dimensions
• Positons: Slowly decreasing analogues of solitons
• New Integrable Nonlinear Evolution Equations
• Positon solutions of the sine-Gordon equation
• Negaton and positon solutions of the KdV and mKdV hierarchy
• Negatons, positons, rational-like solutions and conservation laws of the Korteweg–de Vries equation with loss and non-uniformity terms

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