Solitonlike solutions of the elliptic sine–cosine equation by means of harmonic functions

DOI10.1063/1.523799zbMath0383.35021OpenAlexW1998537246MaRDI QIDQ4163834

George Leibbrandt

Publication date: 1978

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.523799

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Solutions to PDEs in closed form (35C05) Qualitative properties of solutions to partial differential equations (35B99)

Related Items (7)

Bäcklund transformations for surfaces in Minkowski space ⋮ On long-lived vortices in 2-D viscous flows, most probable states of inviscid 2-D flows and a soliton equation ⋮ Nonlinear superposition for Liouville's equation in three spatial dimensions ⋮ Bäcklund transformations for the equation \(\partial{}^ 2u/\partial{} x^ 1\partial{} x^ 1+\partial^ 2 u/\partial{} x^ 2\partial{} x^ 2=f(u)\) ⋮ Existence of Dual Equations by Means of Strong Necessary Conditions - Analysis of Integrability of Partial Differential Nonlinear Equations ⋮ Darboux transformations on timelike constant mean curvature surfaces ⋮ Solutions of the sine-Gordon equation in higher dimensions

Cites Work

• Integrable Hamiltonian systems and interactions through quadratic constraints
• Korteweg-de Vries equation: a completely integrable Hamiltonian system
• Synchronized solitons
• Korteweg-de Vries Equation and Generalizations. IV. The Korteweg-de Vries Equation as a Hamiltonian System
• The Propagation of Nonlinear Wave Envelopes

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