Handbook of Nonlinear Partial Differential EquationsCRC Press, 2 июн. 2004 г. - Всего страниц: 840 The Handbook of Nonlinear Partial Differential Equations is the latest in a series of acclaimed handbooks by these authors and presents exact solutions of more than 1600 nonlinear equations encountered in science and engineering--many more than any other book available. The equations include those of parabolic, hyperbolic, elliptic and other types, and the authors pay special attention to equations of general form that involve arbitrary functions. A supplement at the end of the book discusses the classical and new methods for constructing exact solutions to nonlinear equations. To accommodate different mathematical backgrounds, the authors avoid wherever possible the use of special terminology, outline some of the methods in a schematic, simplified manner, and arrange the equations in increasing order of complexity. Highlights of the Handbook: |
Содержание
Chapter 1 Parabolic Equations with One Space Variable | 1 |
Chapter 2 Parabolic Equations with Two or More Space Variables | 141 |
Chapter 3 Hyperbolic Equations with One Space Variable | 191 |
Chapter 4 Hyperbolic Equations with Two or Three Space Variables | 275 |
Chapter 5 Elliptic Equations with Two Space Variables | 347 |
Chapter 6 Elliptic Equations with Three or More Space Variables | 405 |
Chapter 7 Equations Involving Mixed Derivatives and Some Other Equations | 433 |
Chapter 8 Second173Order Equations of General Form | 479 |
Chapter 9 Third173Order Equations | 515 |
Chapter 10 Fourth173Order Equations | 589 |
Chapter 11 Equations of Higher Orders | 631 |
Supplements Exact Methods for Solving Nonlinear Partial Differential Equations | 683 |
| 791 | |
| 809 | |
Другие издания - Просмотреть все
Handbook of Nonlinear Partial Differential Equations Andrei D. Polyanin,Valentin F. Zaitsev Ограниченный просмотр - 2003 |
Handbook of Nonlinear Partial Differential Equations Andrei D. Polyanin,Valentin F. Zaitsev Недоступно для просмотра - 2003 |
Handbook of Nonlinear Partial Differential Equations Andrei D. Polyanin,Valentin F. Zaitsev Недоступно для просмотра - 2003 |
Часто встречающиеся слова и выражения
A. D. Polyanin Additive separable solution arbitrary constants arbitrary function autonomous ordinary differential C₁ and C2 C₁t C₁x C2 are arbitrary coefficients determined equation in question exact solutions Functional separable solution functions w₁ heat equation Ibragimov 1994 implicit form Integrating Korteweg-de Vries equation linear equation Multiplicative separable solution N. H. Ibragimov obtain ordinary differential equation original equation parameter partial differential equation Polyanin and V. F. Polyanin and Zaitsev Reference Schrödinger equation Self-similar solution simpler equation sinh solution in implicit solution of equation solution of Item substitution Suppose w(x system of ordinary transformation traveling-wave solution two-dimensional V. F. Zaitsev δω δω δω θω θε θη θυ Θχη θω δω θω θω θω λω ди ди ду ду ду дх дхду Эх2 дуг