Topic
Lamé function
About: Lamé function is a research topic. Over the lifetime, 101 publications have been published within this topic receiving 1291 citations. The topic is also known as: Lame function.
Papers published on a yearly basis
Papers
TL;DR: In this paper, the classical problem of description of n-Orthogonal Curvilinear Coordinate System in flat Euclidean space is solved by the Inverse Scattering Method.
Abstract: The classical problem of description of n-Orthogonal Curvilinear Coordinate System in flat Euclidean space is solved by the Inverse Scattering Method. The developed method allows to describe Hamiltonian and semi-Hamiltonian Integrable systems of Hydrodynamic type.
173 citations
TL;DR: In this paper, the dimensional reductions of the physically and mathematically significant Kadomtsev-Petviashvili equation are discussed, which are obtained in terms of Weierstrass elliptic functions, solutions of the Lame equations, and the first, second and fourth Painleve transcendents.
95 citations
TL;DR: A general method for computing the coefficients, at any order, of the Lame's functions used to define a set of orthogonal polynomials called ellipsoi, illustrated by the calculation of the free energy of a molecule seperated from a dielectric.
63 citations
TL;DR: In this article, an elliptic equation method is presented for constructing new types of elliptic function solutions of nonlinear evolution equations, which are not obtained by the previously known methods.
Abstract: An elliptic equation method is presented for constructing new types of elliptic function solutions of nonlinear evolution equations. The key idea of this method is to use solutions of an elliptic equation involving four real distinct roots to construct solutions of nonlinear evolution equations. The (3+1)-dimensional modified KdV–ZK equation and Whitham–Broer–Kaup equation are chosen to illustrate the application of the elliptic equation method. Consequently, new elliptic function solutions of rational forms are derived that are not obtained by the previously known methods.
42 citations
TL;DR: The band structure of the Lam equation, viewed as a one-dimensional Schrdinger equation with a periodic potential, is studied in this paper, where the dispersion relation is analyzed at integer values of the degree parameter.
Abstract: The band structure of the Lam equation, viewed as a one-dimensional Schrdinger equation with a periodic potential, is studied. At integer values of the degree parameter , the dispersion relation is...
30 citations
Related Topics (5)
Performance Metrics
| Year | Papers |
|---|---|
| 2020 | 4 |
| 2019 | 1 |
| 2018 | 4 |
| 2017 | 2 |
| 2016 | 1 |
| 2015 | 3 |