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math-ph2002★ 2 cited
Relating Linearly Superposed Periodic Solutions of Nonlinear Equations to One Soliton Solutions
W. Reinhardt, A. Khare, U. Sukhatme
Using new generalized Landen transformations, we prove that the solutions of the KdV and other nonlinear equations obtained recently by using a kind of superposition principle for…
math-ph2002
A Generalization of Landen's Quadratic Transformation Formulas for Jacobi Elliptic Functions
Avinash Khare, Uday Sukhatme
Landen formulas, which connect Jacobi elliptic functions with different modulus parameters, were first obtained over two hundred years ago by making a suitable quadratic transforma…