Nonlinear phase-integral approximations of stationary waves in nonhomogeneous systems

DOI10.1088/0305-4470/30/2/029zbMath0946.34051OpenAlexW2091844281MaRDI QIDQ4950270

Karl-Erik Thylwe, Harry J. Dankowicz

Publication date: 8 May 2000

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

Full work available at URL: https://doi.org/10.1088/0305-4470/30/2/029

zbMATH Keywords

solutionseigenvaluesnonlinear differential equationseigensolutionsone-dimensional Hamiltonian systemsdynamical equilibrialinear WKB solutionssmall-amplitude, wavelike solutions

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Theoretical approximation of solutions to ordinary differential equations (34A45) Nonlinear ordinary differential equations and systems (34A34) Singular perturbations, turning point theory, WKB methods for ordinary differential equations (34E20) Partial differential equations of mathematical physics and other areas of application (35Q99)

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