Nonlinear Partial Differential Equations: Exact Solutions, Symmetries, Methods, and Applications
This reprint contains the 19 articles accepted and published in the Special Issue “Nonlinear Partial Differential Equations: Exact Solutions, Symmetries, Methods and Applications, 2023” of the MDPI “Mathematics” journal. This publication covers a wide range of topics pertaining to the theory and app...
Saved in:
| 格式: | Online |
|---|---|
| 語言: | 英语 |
| 出版: |
MDPI - Multidisciplinary Digital Publishing Institute
2023
|
| 主題: | |
| 在線閱讀: | ONIX_20230911_9783036580968_36 |
| 標簽: |
沒有標簽, 成為第一個標記此記錄!
|
| _version_ | 1869522497726054400 |
|---|---|
| collection | Directory of Open Access Books |
| description | This reprint contains the 19 articles accepted and published in the Special Issue “Nonlinear Partial Differential Equations: Exact Solutions, Symmetries, Methods and Applications, 2023” of the MDPI “Mathematics” journal. This publication covers a wide range of topics pertaining to the theory and applications of Nonlinear Partial Differential Equations and its generalizations. These journal covers special methods for constructing solutions to nonlinear nonintegrable partial differential equations and application of differential equations to describe physical, technological and environmental processes, among other topics. The main focus of this Special Issue is the use of computer mathematics methods to obtain the results of the presented works. We hope that the reprint will be an interesting and useful resource for those working in the area of Nonlinear Partial Differential Equations: Exact Solutions, Symmetries, Methods and Applications, as well as those with the proper mathematical background and willingness to familiarize themselves with recent advances in nonlinear mathematical models. Nowadays, these influence almost all aspects of human life. |
| format | Online |
| id | doab-20.500.12854ir-113903 |
| institution | Directory of Open Access Books |
| language | eng |
| publishDate | 2023 |
| publishDateRange | 2023 |
| publishDateSort | 2023 |
| publisher | MDPI - Multidisciplinary Digital Publishing Institute |
| publisherStr | MDPI - Multidisciplinary Digital Publishing Institute |
| record_format | ojs |
| spelling | doab-20.500.12854ir-1139032024-03-28T03:32:20Z Nonlinear Partial Differential Equations: Exact Solutions, Symmetries, Methods, and Applications Kudryashov, Nikolai stochastic Kuramoto–Sivashinsky fractional Kuramoto–Sivashinsky exact stochastic-fractional solutions \({(\frac{G^{\prime }}{G})}\)-expansion method dynamics hydraulic drive similarity multicriteria optimization generalized Schrödinger equation solitary wave exact solution implicit function spiking neural networks synaptic plasticity spike-timing-dependent plasticity memristor solitons refractive index Kudryashov generalized 2D equal-width equation Weierstrass elliptic functions Kudryashov’s method conservation laws Noether’s theorem improved adomian decomposition method optical soliton Fokas–Lenells equations cubic-quartic optical solitons multiwave periodic cross-kink solutions rational and interaction solutions time-fractional ion sound and Langmuir waves system generalized SIdV equation auxiliary equation method exact traveling waves solitary waves—kink and bell types periodic waves peakon Cardano semi-inverse perturbation polynomial law Laplace–Adomian decomposition birefringence NLSE lump solitons breathers a (2+1)-dimensional generalized Bogoyavlensky–Konopelchenko equation Lie point symmetries optimal system of Lie subalgebras bifurcation theory exact solitary wave solutions Bragg gratings porous media stability pore-scale network model drainage generalized nonlinear Schrödinger equation Kerr nonlinearity simplest equation method dispersion of unrestricted order nonlinear partial differential equations differential constraints gas hydrates multi-component fluid dynamic permafrost formation self-gravitation magnetohydrodynamic forces support operator method mathematical modeling COVID-19 pandemic inverse problems time-dependent SEIR model thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general thema EDItEUR::P Mathematics and Science This reprint contains the 19 articles accepted and published in the Special Issue “Nonlinear Partial Differential Equations: Exact Solutions, Symmetries, Methods and Applications, 2023” of the MDPI “Mathematics” journal. This publication covers a wide range of topics pertaining to the theory and applications of Nonlinear Partial Differential Equations and its generalizations. These journal covers special methods for constructing solutions to nonlinear nonintegrable partial differential equations and application of differential equations to describe physical, technological and environmental processes, among other topics. The main focus of this Special Issue is the use of computer mathematics methods to obtain the results of the presented works. We hope that the reprint will be an interesting and useful resource for those working in the area of Nonlinear Partial Differential Equations: Exact Solutions, Symmetries, Methods and Applications, as well as those with the proper mathematical background and willingness to familiarize themselves with recent advances in nonlinear mathematical models. Nowadays, these influence almost all aspects of human life. 2023-09-11T11:57:13Z 2023-09-11T11:57:13Z 2023 book ONIX_20230911_9783036580968_36 9783036580968 9783036580975 https://directory.doabooks.org/handle/20.500.12854/113903 eng application/octet-stream Attribution 4.0 International https://mdpi.com/books/pdfview/book/7744 https://mdpi.com/books/pdfview/book/7744 MDPI - Multidisciplinary Digital Publishing Institute 10.3390/books978-3-0365-8097-5 10.3390/books978-3-0365-8097-5 46cabcaa-dd94-4bfe-87b4-55023c1b36d0 9783036580968 9783036580975 330 open access |
| spellingShingle | stochastic Kuramoto–Sivashinsky fractional Kuramoto–Sivashinsky exact stochastic-fractional solutions \({(\frac{G^{\prime }}{G})}\)-expansion method dynamics hydraulic drive similarity multicriteria optimization generalized Schrödinger equation solitary wave exact solution implicit function spiking neural networks synaptic plasticity spike-timing-dependent plasticity memristor solitons refractive index Kudryashov generalized 2D equal-width equation Weierstrass elliptic functions Kudryashov’s method conservation laws Noether’s theorem improved adomian decomposition method optical soliton Fokas–Lenells equations cubic-quartic optical solitons multiwave periodic cross-kink solutions rational and interaction solutions time-fractional ion sound and Langmuir waves system generalized SIdV equation auxiliary equation method exact traveling waves solitary waves—kink and bell types periodic waves peakon Cardano semi-inverse perturbation polynomial law Laplace–Adomian decomposition birefringence NLSE lump solitons breathers a (2+1)-dimensional generalized Bogoyavlensky–Konopelchenko equation Lie point symmetries optimal system of Lie subalgebras bifurcation theory exact solitary wave solutions Bragg gratings porous media stability pore-scale network model drainage generalized nonlinear Schrödinger equation Kerr nonlinearity simplest equation method dispersion of unrestricted order nonlinear partial differential equations differential constraints gas hydrates multi-component fluid dynamic permafrost formation self-gravitation magnetohydrodynamic forces support operator method mathematical modeling COVID-19 pandemic inverse problems time-dependent SEIR model thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general thema EDItEUR::P Mathematics and Science Nonlinear Partial Differential Equations: Exact Solutions, Symmetries, Methods, and Applications |
| title | Nonlinear Partial Differential Equations: Exact Solutions, Symmetries, Methods, and Applications |
| title_full | Nonlinear Partial Differential Equations: Exact Solutions, Symmetries, Methods, and Applications |
| title_fullStr | Nonlinear Partial Differential Equations: Exact Solutions, Symmetries, Methods, and Applications |
| title_full_unstemmed | Nonlinear Partial Differential Equations: Exact Solutions, Symmetries, Methods, and Applications |
| title_short | Nonlinear Partial Differential Equations: Exact Solutions, Symmetries, Methods, and Applications |
| title_sort | nonlinear partial differential equations exact solutions symmetries methods and applications |
| topic | stochastic Kuramoto–Sivashinsky fractional Kuramoto–Sivashinsky exact stochastic-fractional solutions \({(\frac{G^{\prime }}{G})}\)-expansion method dynamics hydraulic drive similarity multicriteria optimization generalized Schrödinger equation solitary wave exact solution implicit function spiking neural networks synaptic plasticity spike-timing-dependent plasticity memristor solitons refractive index Kudryashov generalized 2D equal-width equation Weierstrass elliptic functions Kudryashov’s method conservation laws Noether’s theorem improved adomian decomposition method optical soliton Fokas–Lenells equations cubic-quartic optical solitons multiwave periodic cross-kink solutions rational and interaction solutions time-fractional ion sound and Langmuir waves system generalized SIdV equation auxiliary equation method exact traveling waves solitary waves—kink and bell types periodic waves peakon Cardano semi-inverse perturbation polynomial law Laplace–Adomian decomposition birefringence NLSE lump solitons breathers a (2+1)-dimensional generalized Bogoyavlensky–Konopelchenko equation Lie point symmetries optimal system of Lie subalgebras bifurcation theory exact solitary wave solutions Bragg gratings porous media stability pore-scale network model drainage generalized nonlinear Schrödinger equation Kerr nonlinearity simplest equation method dispersion of unrestricted order nonlinear partial differential equations differential constraints gas hydrates multi-component fluid dynamic permafrost formation self-gravitation magnetohydrodynamic forces support operator method mathematical modeling COVID-19 pandemic inverse problems time-dependent SEIR model thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general thema EDItEUR::P Mathematics and Science |
| topic_facet | stochastic Kuramoto–Sivashinsky fractional Kuramoto–Sivashinsky exact stochastic-fractional solutions \({(\frac{G^{\prime }}{G})}\)-expansion method dynamics hydraulic drive similarity multicriteria optimization generalized Schrödinger equation solitary wave exact solution implicit function spiking neural networks synaptic plasticity spike-timing-dependent plasticity memristor solitons refractive index Kudryashov generalized 2D equal-width equation Weierstrass elliptic functions Kudryashov’s method conservation laws Noether’s theorem improved adomian decomposition method optical soliton Fokas–Lenells equations cubic-quartic optical solitons multiwave periodic cross-kink solutions rational and interaction solutions time-fractional ion sound and Langmuir waves system generalized SIdV equation auxiliary equation method exact traveling waves solitary waves—kink and bell types periodic waves peakon Cardano semi-inverse perturbation polynomial law Laplace–Adomian decomposition birefringence NLSE lump solitons breathers a (2+1)-dimensional generalized Bogoyavlensky–Konopelchenko equation Lie point symmetries optimal system of Lie subalgebras bifurcation theory exact solitary wave solutions Bragg gratings porous media stability pore-scale network model drainage generalized nonlinear Schrödinger equation Kerr nonlinearity simplest equation method dispersion of unrestricted order nonlinear partial differential equations differential constraints gas hydrates multi-component fluid dynamic permafrost formation self-gravitation magnetohydrodynamic forces support operator method mathematical modeling COVID-19 pandemic inverse problems time-dependent SEIR model thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general thema EDItEUR::P Mathematics and Science |
| url | ONIX_20230911_9783036580968_36 |