On a Riemann-Hilbert problem for the negative-order KdV equation

DOI10.1016/j.aml.2022.108106zbMath1491.35309OpenAlexW4224300640WikidataQ113880649 ScholiaQ113880649MaRDI QIDQ2673708

Jian Xu, Shengyang Yuan

Publication date: 13 June 2022

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2022.108106

zbMATH Keywords

Riemann-Hilbert problemsoliton solutionsnegative order KdV equation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) KdV equations (Korteweg-de Vries equations) (35Q53) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Riemann-Hilbert problems in context of PDEs (35Q15) Soliton solutions (35C08)

Related Items (3)

Negative order mKdV equation and \(N\)-solitons ⋮ Exact multi-Soliton solutions of the KdV equation with a source: Riemann-Hilbert formulation ⋮ Lie symmetry analysis, exact solutions and power series solutions of the logarithmic Monge–Ampère flow evolution equation

Cites Work

• Inverse problem for periodic finite-zoned potentials in the theory of scattering
• The spectrum of Hill's equation
• Negative powers of Olver recursion operators
• Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of Solitons
• Symmetries of the KdV equation and four hierarchies of the integrodifferential KdV equations
• Method for Solving the Korteweg-deVries Equation
• Integrals of nonlinear equations of evolution and solitary waves

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