<P>It is well known that symmetry-based methods are very powerful tools for investigating nonlinear partial differential equations (PDEs), notably for their reduction to those of lower dimensionality (e.g. to ODEs) and constructing exact solutions. This book is devoted to (1) search Lie and conditio
Nonlinear reaction-diffusion-convection equations : Lie and conditional symmetry, exact solutions, and their applications
✍ Scribed by Černìga, Roman Mihajlovič; Plûhìn, Oleksìj Gennadìjovič; Sêrov, Mikola Ìvanovič
- Publisher
- CRC Press, Taylor & Francis Group
- Year
- 2018
- Tongue
- English
- Leaves
- 261
- Series
- Monographs and Research Notes in Mathematics
- Category
- Library
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📜 SIMILAR VOLUMES
It is well known that symmetry-based methods are very powerful tools for investigating nonlinear partial differential equations (PDEs), notably for their reduction to those of lower dimensionality (e.g. to ODEs) and constructing exact solutions. This book is devoted to (1) search Lie and conditional
<p><p>This book presents several fundamental results in solving nonlinear reaction-diffusion equations and systems using symmetry-based methods. Reaction-diffusion systems are fundamental modeling tools for mathematical biology with applications to ecology, population dynamics, pattern formation, mo
<p>by spin or (spin s = 1/2) field equations is emphasized because their solutions can be used for constructing solutions of other field equations insofar as fields with any spin may be constructed from spin s = 1/2 fields. A brief account of the main ideas of the book is presented in the Introducti
<p>This book presents exact, closed-form solutions for the response of a variety of nonlinear oscillators (free, damped, forced). The solutions presented are expressed in terms of special functions. To help the reader understand these `non-standard' functions, detailed explanations and rich illustra