A direct method of construction of two-zone solutions of nonlinear equations

DOI10.1007/BF02676441zbMath0995.37058MaRDI QIDQ1569294

S. G. Sadovnichuk, R. K. Romanovskii

Publication date: 1 April 2001

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

KdV equationsine-Gordon equationKadomtsev-Petviashvili equationsRiemann matrixtwo-zone solutionsaddition theorem for theta-functions of two variables

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Theta functions and abelian varieties (14K25) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20)

Cites Work

• Real two-zone solutions of the sine-Gordon equation
• Tata lectures on theta. I: Introduction and motivation: Theta functions in one variable. Basic results on theta functions in several variables. With the assistance of C. Musili, M. Nori, E. Previato, and M. Stillman
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