2015/11/04 by Zehra Pınar, Zehra Pinar, Pinar, Zehra +3 · 1 citation
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Analysis of PDEs (math.AP) #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Mathematics #FOS: Physical sciences #Fractional Differential Equations Solutions #Mathematical Physics (math-ph) #Nonlinear Waves and Solitons #Pattern Formation and Solitons (nlin.PS) #math-ph #math.AP #math.MP #nlin.PS #nlin.SI
paper · pdf · doi:10.48550/arxiv.1511.02154
18 pages. arXiv admin note: substantial text overlap with arXiv:1511.01787
arxiv created 2015/11/04 · openalex publication_date 2015/11/04 · arxiv updated 2015/11/09 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
It is well recognized that in auxiliary equation methods, the exact solutions of different types of auxiliary equations may produce new types of exact travelling wave solutions to nonlinear partial differential equations in hand. In this study, we extend the class of auxiliary equations of classical Bernoulli equation which considered by various researchers [27, 31, 32, 33, 34, 35] to a variable-coefficient Bernoulli type equation. The proposed variable-coefficient Bernoulli type auxiliary equation produces many new solutions comparing to classical Bernoulli equation which produce two solutions only. Consequently, we introduce new exact travelling wave solutions of some physical systems in terms of these new solutions of the variable-coefficient Bernoulli type equation.