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:vuaquot;, + a 3 f(x) = aea w = e+*u(z), 2 = e+*y #6(u)aquot; - #8wuaquot;, = vua#39; + a 4 f(a) = a w = ka + u(y) u(y)= Ap a#39;aquot; : | : a#39; 5 f(a) = awaquot; w = k in |a|+ u(z), 2 = y/x a(ua#39;) a kua#39; ... N. Pavlovskii (1961), H. Schlichting (1981), L. G. Loitsyanskiy (1996), G. I. Burde ( 1996).

Title | : | Handbook of Nonlinear Partial Differential Equations |

Author | : | Andrei D. Polyanin, Valentin F. Zaitsev |

Publisher | : | CRC Press - 2004-06-02 |

Continue