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<p>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.</p>

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

  • 期刊论文

  • 发表日期：

    2025年6月26日

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  • C. Uma Maheswari,
  • M. Yogeshwaran

摘要

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.