Two-gap 3-elliptic solutions of the Boussinesq and the Korteweg-de Vries equations

MaRDI QIDQ6654188

Aleksandr Olegovich Smirnov, Grigoriĭ Golovachëv, Evgeniĭ Gennad'evich Amosënok

Publication date: 18 December 2024

Published in: Nelineĭnaya Dinamika (Search for Journal in Brave)

zbMATH Keywords

coveringBoussinesq equationreductionKdV equationsolitontheta-function

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53)

Cites Work

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• Two-gap two-elliptic solution of Boussinesq equation
• Finite-gap elliptic solutions of the KdV equation
• Lehrbuch der Thetafunktionen. Mit 10 Figuren im Text.
• Abel's theorem and the allied theory including the theory of the theta functions.
• Theta functions on Riemann surfaces
• Periodic solutions of the KdV equation
• Method for Solving the Korteweg-deVries Equation
• Korteweg-de Vries Equation and Generalizations. IV. The Korteweg-de Vries Equation as a Hamiltonian System
• Integrals of nonlinear equations of evolution and solitary waves

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