Similarity Transforming Techniques of Partial Differential Equations and its Applications: A review | ||
| Delta University Scientific Journal | ||
| Volume 6, Issue 2, September 2023, Pages 168-181 PDF (446.25 K) | ||
| Document Type: Original research papers | ||
| DOI: 10.21608/dusj.2023.318647 | ||
| Authors | ||
| A. S. Rashed1; M. M. Kassem* 2 | ||
| 1Department of Physics and Engineering Mathematics Department, Faculty of Engineering, Zagazig university, Egypt. Faculty of Engineering, Delta University for Science and Technology, Gamasa, Egypt | ||
| 2Department of Physics and Engineering Mathematics Department, Faculty of Engineering, Zagazig university, Egypt. | ||
| Abstract | ||
| The current paper is a review of some transformation techniques of partial differential equations (PDEs) using similarity techniques which have the ability to reduce the number of independent variables to be a single variable resulting in a simpler ordinary differential equation (ODEs). These techniques have the benefit to obtain some completely new solutions. The paper introduces a summary and literature review for method of characteristic lines, Bäcklund transformations, Cole-Hopf Transformation, Lie infinitesimals, Non-classical symmetry method, Potential Symmetry, direct methods and characteristic function method. | ||
| Keywords | ||
| Partial differential equations; Transformation Methods; Similarity solutions | ||
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