Darboux transformation and solitonic solution to the coupled complex short pulse equation
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Publication:2150417
DOI10.1016/j.physd.2022.133332zbMath1492.35083arXiv2111.00284OpenAlexW3208360201WikidataQ113866800 ScholiaQ113866800MaRDI QIDQ2150417
Publication date: 27 June 2022
Published in: Physica D (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2111.00284
Darboux transformationmodulational instabilityrogue wavesbright-solitonloop group methoddark-solitonbreather and rogue wave solutions
Transform methods (e.g., integral transforms) applied to PDEs (35A22) Solutions to PDEs in closed form (35C05) Soliton solutions (35C08)
Related Items (10)
Interactions of Localized Wave Structures on Periodic Backgrounds for the Coupled Lakshmanan–Porsezian–Daniel Equations in Birefringent Optical Fibers ⋮ Hybrid structures of localized waves for the coupled extended mKdV equation ⋮ Soliton interactions and Yang–Baxter maps for the complex coupled short‐pulse equation ⋮ Dynamics of general higher-order rogue waves in the two-component long wave-short wave model of Newell type ⋮ Inverse scattering transform for the coupled modified complex short pulse equation: Riemann-Hilbert approach and soliton solutions ⋮ Darboux transformation and general soliton solutions for the reverse space-time nonlocal short pulse equation ⋮ Long-time asymptotics for the coupled complex short-pulse equation with decaying initial data ⋮ Rogue periodic waves of the short pulse equation and the coupled integrable dispersionless equation ⋮ Studies on a three-field lattice system: \(N\)-fold Darboux transformation, conservation laws and analytic solutions ⋮ Rossby waves and dipole blocking of barotropic-baroclinic coherent structures in unequal depth two-layer fluids
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