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Generalized Landen Transformation Formulas for Jacobi Elliptic Functions
Avinash Khare, Uday Sukhatme
Landen transformation formulas, which connect Jacobi elliptic functions with different modulus parameters, were first obtained over two hundred years ago by changing integration va…
Affine Toda-Sutherland Systems
Avinash Khare, I. Loris, R. Sasaki
A cross between two well-known integrable multi-particle dynamics, an affine Toda molecule and a Sutherland system, is introduced for any affine root system. Though it is not compl…
Breather lattice and its stabilization for the modified Korteweg-de Vries equation
P. G. Kevrekidis, Avinash Khare, A. Saxena
We obtain an exact solution for the breather lattice solution of the modified Korteweg-de Vries (MKdV) equation. Numerical simulation of the breather lattice demonstrates its insta…
Local Identities Involving Jacobi Elliptic Functions
Avinash Khare, Arul Lakshminarayan, Uday Sukhatme
We derive a number of local identities of arbitrary rank involving Jacobi elliptic functions and use them to obtain several new results. First, we present an alternative, simpler d…