Meromorphic solutions to the KdV equation with non-decaying initial data supported on a left half line

DOI10.1088/0951-7715/23/5/007zbMath1188.37068OpenAlexW1990096242MaRDI QIDQ3565014

Alexei Rybkin

Publication date: 27 May 2010

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0951-7715/23/5/007

zbMATH Keywords

solitonspolynomialsasymptotic behavior of solutionsrational mapssoliton theorymeromorphic functionsgeneral theoryentire and meromorphic functionsintegration of completely integrable systems by inverse spectral and scattering methods

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Soliton equations (35Q51) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Meromorphic functions of one complex variable (general theory) (30D30) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15)

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