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Multi-Shock Wave Solution of The Damped Forced Burger Equation by Homogenization of Degree

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  • Ranjan Barman

    (Department of Mathematics, Dinhata College, Cooch Behar, 736135, India.)

Abstract

This article presents an investigation into the exact solution of the damped forced Burger equation with constant coefficients, utilizing a homogenization technique. By introducing a suitable change of dependent variable, the partial differential equation is transformed into a homogeneous equation of a specific degree. Subsequently, shock waves are computed employing a perturbation-like scheme that leverages linear and nonlinear operators in a finite number of steps. The study further illustrates the behavior of 2-shock and 3-shock waves under different forcing terms, providing valuable insights into the dynamics of the system. This approach enables a deeper understanding of the complex interactions between nonlinearity, damping, and external forcing in the Burger equation.

Suggested Citation

  • Ranjan Barman, 2025. "Multi-Shock Wave Solution of The Damped Forced Burger Equation by Homogenization of Degree," International Journal of Latest Technology in Engineering, Management & Applied Science, International Journal of Latest Technology in Engineering, Management & Applied Science (IJLTEMAS), vol. 14(5), pages 471-478, May.
    • Handle: RePEc:bjb:journl:v:14:y:2025:i:5:p:471-478
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