Soliton, breather and rogue wave solutions of the coupled Gerdjikov-Ivanov equation via Darboux transformation
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Publication:6168777
DOI10.1007/s11071-020-05790-5zbMath1516.37115OpenAlexW3041826210MaRDI QIDQ6168777
Publication date: 9 August 2023
Published in: Nonlinear Dynamics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11071-020-05790-5
Soliton equations (35Q51) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Soliton solutions (35C08)
Related Items (14)
Breathers on elliptic function background for a generalized nonlinear Schrödinger equation with higher-order terms ⋮ Exact solutions of the nonlocal Gerdjikov-Ivanov equation ⋮ Modified generalized Darboux transformation and solitons for a Lakshmanan-Porsezian-Daniel equation ⋮ A \(2+1\) dimensional Volterra type system with nonzero boundary conditions via Dbar dressing method ⋮ Inverse scattering transform for the two‐component Gerdjikov–Ivanov equation with nonzero boundary conditions: Dark‐dark solitons ⋮ Conservation laws, soliton solutions and modulation instability for the coupled Gerdjikov-Ivanov equations ⋮ Explicit solutions and Darboux transformations of a generalized D-Kaup-Newell hierarchy ⋮ Localized wave solutions to the vector nonlinear Schrödinger equation with nonzero backgrounds ⋮ Binary Darboux transformation, solitons, periodic waves and modulation instability for a nonlocal Lakshmanan-Porsezian-Daniel equation ⋮ Quasi-Grammian solutions of the coupled Gerdjikov-Ivanov equation ⋮ Coupled derivative nonlinear Schrödinger III equation: Darboux transformation and higher-order rogue waves in a two-mode nonlinear fiber ⋮ Lie symmetry reductions, power series solutions and conservation laws of the coupled Gerdjikov-Ivanov equation using optimal system of Lie subalgebra ⋮ Bright and dark solitons and periodic wave solutions for the Gerdjikov-Ivanov equation in nonlinear fiber optics ⋮ Higher-order rogue waves solutions of the modified Gerdjikov-Ivanov equation with dispersion via generalized Darboux transformation
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