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Variable Separable Method and Exact Solutions of Nonlinear Partial Differential, Differential-Difference and Partial Difference Equations

Publication Type : Journal Article

Publisher : Springer Science and Business Media LLC

Source : Indian Journal of Pure and Applied Mathematics

Url : https://doi.org/10.1007/s13226-025-00798-2

Campus : Nagercoil

School : School of Computing

Year : 2025

Abstract : The aim of this paper is to illustrate the systematic approach of variable separable method and obtain explicit solutions to nonlinear partial differential equations, nonlinear differential-difference equations and nonlinear partial difference equations. This is achieved by finding explicit solution to the nonlinear telegraph equation with variable coefficients, nonlinear differential-difference equations like the space discrete Korteweg-de Vries equation, Toda lattice equation and nonlinear partial difference equations.

Cite this Research Publication : C. Uma Maheswari, M. Yogeshwaran, Variable Separable Method and Exact Solutions of Nonlinear Partial Differential, Differential-Difference and Partial Difference Equations, Indian Journal of Pure and Applied Mathematics, Springer Science and Business Media LLC, 2025, https://doi.org/10.1007/s13226-025-00798-2

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