A new integrable two-component system with cubic nonlinearity

DOI10.1063/1.3530865zbMath1314.37051OpenAlexW2020037453MaRDI QIDQ5256187

Chang-Zheng Qu, Junfeng Song, Zhijun Qiao

Publication date: 22 June 2015

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://scholarworks.utrgv.edu/cgi/viewcontent.cgi?article=1009&context=mss_fac

Mathematics Subject Classification ID

Related Items (43)

Qualitative analysis for a two-component peakon system with cubic nonlinearity ⋮ On the Cauchy problem and peakons of a two-component Novikov system ⋮ Well-posedness, global existence and blow-up phenomena for an integrable multi-component Camassa-Holm system ⋮ Multipeakons of a two-component modified Camassa-Holm equation and the relation with the finite Kac-van Moerbeke lattice ⋮ Moment modification, multipeakons, and nonisospectral generalizations ⋮ On the blow up solutions to a two-component cubic Camassa-Holm system with peakons ⋮ On the integrability of a four-component super system ⋮ On the well-posedness of a nonlocal (two-place) FORQ equation via a two-component peakon system ⋮ An integrable four-component Camassa–Holm-type system ⋮ Blow‐up of solutions for an integrable periodic two‐component Camassa‐Holm system with cubic nonlinearity ⋮ A new 3-component Degasperis-Procesi hierarchy ⋮ Two-component generalizations of the Camassa–Holm equation ⋮ Blow-up data for a two-component Camassa-Holm system with high order nonlinearity ⋮ MULTI-PEAKON SOLUTIONS TO A FOUR-COMPONENT CAMASSA-HOLM TYPE SYSTEM ⋮ On the local well-posedness of the Cauchy problem for a modified two-component Camassa-Holm system in Besov spaces ⋮ Global-in-time solvability and blow-up for a non-isospectral two-component cubic Camassa-Holm system in a critical Besov space ⋮ On bi-Hamiltonian structure of two-component Novikov equation ⋮ Blow-up criteria and periodic peakons for a two-component extension of the μ-version modified Camassa–Holm equation ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Tri-Hamiltonian duality between the Wadati-Konno-Ichikawa hierarchy and the Song-Qu-Qiao hierarchy ⋮ Blow-up phenomena for an integrable two-component Camassa-Holm system with cubic nonlinearity and peakon solutions ⋮ WELL-POSEDNESS AND ANALYTICITY FOR AN INTEGRABLE TWO-COMPONENT SYSTEM WITH CUBIC NONLINEARITY ⋮ A reciprocal transformation for the Geng-Xue equation ⋮ Inverse Spectral Problem and Peakons of an Integrable Two-component Camassa-Holm System ⋮ Blow-up phenomena and persistence properties for an integrable two-component peakon system ⋮ An application of Pfaffians to multipeakons of the Novikov equation and the finite Toda lattice of BKP type ⋮ Analyticity, Gevrey regularity and unique continuation for an integrable multi-component peakon system with an arbitrary polynomial function ⋮ Double extended cubic peakon equation ⋮ A Synthetical Two-Component Model with Peakon Solutions ⋮ A four-component Camassa-Holm type hierarchy ⋮ Remarks on certain two-component systems with peakon solutions ⋮ An Integrable Matrix Camassa-Holm Equation* ⋮ A three-component Camassa-Holm system with cubic nonlinearity and peakons ⋮ Lax Integrability of the Modified Camassa-Holm Equation and the Concept of Peakons ⋮ Darboux transformation and soliton solutions for a three-component modified Korteweg-de Vries equation ⋮ A view of the peakon world through the lens of approximation theory ⋮ The periodic Cauchy problem for a two-component non-isospectral cubic Camassa-Holm system ⋮ The two-component Novikov-type systems with peaked solutions and \(H^1\)-conservation law ⋮ Local well-posedness and global existence for a multi-component Novikov equation ⋮ On well-posedness of two-component Camassa-Holm system in the critical Besov space ⋮ A new method to find series solutions of a nonlinear wave equation ⋮ On the Cauchy problem for a four-component Camassa-Holm type system

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