New Lamé function and its application to nonlinear equations

DOI10.1016/j.physleta.2009.10.055zbMath1235.34038OpenAlexW2089583302MaRDI QIDQ763810

Zuntao Fu, Jiangyu Mao, Shikuo Liu, Naiming Yuan

Publication date: 2 April 2012

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2009.10.055

zbMATH Keywords

perturbation methodJacobi elliptic functionLamé functionmulti-order solutions

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Elliptic functions and integrals (33E05) Lamé, Mathieu, and spheroidal wave functions (33E10) Singular perturbation problems for ordinary differential equations in the complex domain (complex WKB, turning points, steepest descent) (34M60)

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