1981/06/30 by V. P. Maslov, V P Maslov, G A Omel'yanov +1
Mathematics · Physics and Astronomy · #Differential Equations and Numerical Methods #Nonlinear Photonic Systems #Nonlinear Waves and Solitons
paper · doi:10.1070/rm1981v036n03abeh004248
crossref issued 1981/06/30 · crossref published 1981/06/30 · crossref published-print 1981/06/30 · openalex publication_date 1981/06/30 · crossref created 2005/11/08 · crossref published-online 2007/10/16 · crossref deposited 2024/10/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/06/11 · crossref indexed 2026/07/31
CONTENTSIntroductionChapter I. The Korteweg-de Vries equation with variable coefficients § 1. Basic definitions. A single-phase soliton-form solution of the Korteweg-de Vries equation with variable coefficients § 2. Construction of an asymptotic single-phase soliton-form solution § 3. Conservation lawsChapter II. The Kadomtsev-Petviashvili equation and the sine-Gordon equation § 1. The Kadomtsev-Petviashvili equation § 2. The sine-Gordon equation with variable coefficientsChapter III. Multi-phase asymptotic solutions of non-linear equations and Dirichlet series § 1. Multi-phase asymptotic solutions § 2. Dirichlet series for constructing asymptotic expansions for general equationsReferences