2020/06/17 by Pinki Kumari, Kumari, Pinki, R. K. Gupta +4
Mathematics · Physics and Astronomy · #70S10 #76M60 #83C15 #Advanced Mathematical Physics Problems #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #Mathematical Physics (math-ph) #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #math-ph #math.MP #msc:70S10 #msc:76M60 #msc:83C15 #nlin.SI
paper · pdf · doi:10.48550/arxiv.2006.10551
I, Sachin Kumar, with my co-authors, submitting manuscript with 1 pages and 21 figures. Please consider the same
arxiv created 2020/06/17 · openalex publication_date 2020/06/17 · arxiv updated 2020/06/19 · openalex created_date 2020/06/25 · openalex updated_date 2026/07/28
In this paper, the nonlinear Rosenau-Hyman equation with time dependent variable coefficients is considered for investigating its invariant properties, exact solutions and conservation laws. Using Lie classical method, we derive symmetries admitted by considered equation. Symmetry reductions are performed for each components of optimal set. Also nonclassical approach is employed on considered equation to find some additional supplementary symmetries and corresponding symmetry reductions are performed. Later three kinds of exact solutions of considered equation are presented graphically for different parameters. In addition, local conservation laws are constructed for considered equation by multiplier approach.