Inverse scattering problem for the matrix modified Korteweg-de Vries equation with finite density type initial data
DOI10.1016/j.physd.2023.133911zbMath1527.35362MaRDI QIDQ6090651
Zhi-Qiang Li, Jin-Jie Yang, Shou-Fu Tian
Publication date: 17 November 2023
Published in: Physica D (Search for Journal in Brave)
inverse scattering transformRiemann-Hilbert problemsoliton solutionsmatrix modified Korteweg-de Vries equation\(2\mathrm{m}\times 2\mathrm{m}\) Lax pairs
Asymptotic behavior of solutions to PDEs (35B40) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Scattering theory for PDEs (35P25) 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) Methods of ordinary differential equations applied to PDEs (35A24)
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