Inverse scattering transform and multiple high-order pole solutions for the Gerdjikov-Ivanov equation under the zero/nonzero background

DOI10.1007/s00033-021-01583-xzbMath1470.35302arXiv2012.13654OpenAlexW3196919889MaRDI QIDQ2044740

Zechuan Zhang, En-gui Fan

Publication date: 10 August 2021

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2012.13654

zbMATH Keywords

Riemann-Hilbert problemsoliton solutionGerdjikov-Ivanov equationmultiple high-order poles

Mathematics Subject Classification ID

Soliton equations (35Q51) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Soliton solutions (35C08)

Related Items (11)

Double and triple pole solutions for the Gerdjikov–Ivanov type of derivative nonlinear Schrödinger equation with zero/nonzero boundary conditions ⋮ The complex Hamiltonian system in the Gerdjikov-Ivanov equation and its applications ⋮ Riemann-Hilbert approach for a higher-order Chen-Lee-Liu equation with high-order poles ⋮ Riemann-Hilbert method and multi-soliton solutions of an extended modified Korteweg-de Vries equation with \(N\) distinct arbitrary-order poles ⋮ Higher-order algebraic soliton solutions of the Gerdjikov-Ivanov equation: asymptotic analysis and emergence of rogue waves ⋮ Riemann-Hilbert problem for the focusing nonlinear Schrödinger equation with multiple high-order poles under nonzero boundary conditions ⋮ Inverse scattering transform for the two‐component Gerdjikov–Ivanov equation with nonzero boundary conditions: Dark‐dark solitons ⋮ The long-time asymptotics of the derivative nonlinear Schrödinger equation with step-like initial value ⋮ Riemann–Hilbert problem for the Fokas–Lenells equation in the presence of high-order discrete spectrum with non-vanishing boundary conditions ⋮ Explicit Nth order solutions of Fokas–Lenells equation based on revised Riemann–Hilbert approach ⋮ Soliton and breather solutions of the higher-order modified Korteweg-de Vries equation with constants background

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