Title | Nonlinear functional substitutions method for nonlinear diffusion and wave equations |
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Authors | V. M. Morozov1, 2, V. M. Zhuravlev3 1Samara National Research University 2Ulyanovsk instrument manufacturing design bureau 3Ulyanovsk State University |
Annotation | In this work we develop a generalization of the functional substitutions method --- nonlinear functional substitutions (NFS), based on a nonlinear system of basic relations. Using NFS, Backlund transformations and exact solutions of the Liouville and diffusion equations are constructed. |
Keywords | functional substitutions method, Backlund transformation, nonlinear diffusion |
Citation | Morozov V. M., Zhuravlev V. M. ''Nonlinear functional substitutions method for nonlinear diffusion and wave equations'' [Electronic resource]. Proceedings of the XVI International scientific conference "Differential equations and their applications in mathematical modeling". (Saransk, July 17-20, 2023). Saransk: SVMO Publ, 2023. - pp. 166-170. Available at: https://conf.svmo.ru/files/2023/papers/paper26.pdf. - Date of access: 12.11.2024. |
© SVMO, National Research Mordovia State University, 2024
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