Solutions of certain integrable nonlinear PDE’s describing nonresonant N-wave interactions

DOI10.1063/1.528432zbMath0692.35098OpenAlexW2049057360MaRDI QIDQ3034209

Francesco Calogero

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1063/1.528432

zbMATH Keywords

nonresonant dispersive wavessolitonic phenomenology

Mathematics Subject Classification ID

Partial differential equations of mathematical physics and other areas of application (35Q99) Qualitative properties of solutions to partial differential equations (35B99)

Related Items (3)

Approximate particle-like solutions for a nonlinear relativistic scalar complex field model in \(3+1\) dimensions ⋮ EXACT SOLITON SOLUTIONS FOR CONFORMABLE FRACTIONAL SIX WAVE INTERACTION EQUATIONS BY THE ANSATZ METHOD ⋮ Nonresonant interacting waves for the nonlinear Klein-Gordon equation in three-dimensional space

Cites Work

• Universality and integrability of the nonlinear evolution PDE’s describing N-wave interactions
• The evolution partial differential equation u t=u x x x+3(u x x u2 +3u2x u)+3u x u4

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