The binary Darboux transformation revisited and KdV solitons on arbitrary short‐range backgrounds
DOI10.1111/sapm.12436zbMath1529.35450OpenAlexW3195730096MaRDI QIDQ6085646
Publication date: 12 December 2023
Published in: Studies in Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1111/sapm.12436
inverse scattering transformRiemann-Hilbert problemKdV equationbinary Darboux transformationdouble commutation method
Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) KdV equations (Korteweg-de Vries equations) (35Q53) NLS equations (nonlinear Schrödinger equations) (35Q55) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Riemann-Hilbert problems in context of PDEs (35Q15) Soliton solutions (35C08)
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