Exact solutions of nonlinear diffusion-convection-reaction equation: A Lie symmetry analysis approach

2019 ◽  
Vol 67 ◽  
pp. 253-263 ◽  
Author(s):  
Motlatsi Molati ◽  
Hideki Murakawa
Keyword(s):  
Exact Solutions ◽  
Nonlinear Diffusion ◽  
Lie Symmetry ◽  
Symmetry Analysis ◽  
Analysis Approach ◽  
Lie Symmetry Analysis ◽  
Reaction Equation ◽  
Diffusion Convection

scholarly journals Exact solutions and conservation laws of a coupled integrable dispersionless system

Filomat ◽  
2012 ◽  
Vol 26 (5) ◽  
pp. 957-964 ◽  
Author(s):  
Masood Khalique
Keyword(s):  
Conservation Laws ◽  
Exact Solutions ◽  
Applied Mathematics ◽  
Lie Symmetry ◽  
Symmetry Analysis ◽  
Equation Method ◽  
Lie Symmetry Analysis ◽  
Symmetry Reductions ◽  
Simplest Equation Method ◽  
Mathematics And Physics

In this paper we study the coupled integrable dispersionless system (CIDS), which arises in the analysis of several problems in applied mathematics and physics. Lie symmetry analysis is performed on CIDS and symmetry reductions and exact solutions with the aid of simplest equation method are obtained. In addition, the conservation laws of the CIDS are also derived using the multiplier (and homotopy) approach.

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