Index

Airy, George Biddell, 47, 48

algebraic geometry, 53, 67, 164,

203, 248, 255

AnimBurgers[], 37

arXiv.org, 64

autonomous differential equation,

4, 5, 21, 81

Bilinear KP Equation, 181–183,

185, 187, 188, 204, 206–

210, 212, 214, 215, 240,

242

Bilinear KP Hierarchy, 240–244,

283

bilinearKP[], 182, 187, 196,

206, 207, 214

binomial coeﬃcient, 115, 222

Boussinesq Equation, 159, 167,

168, 174, 193, 284

Boussinesq, Joseph Valentin, 50,

159, 276

Burchnall and Chaundy, 53, 164,

165

commutator, 118, 121, 130, 137,

139, 146, 152, 155, 160,

162

complex conjugate, 277

complex numbers, 78, 86, 269,

270, 272, 277, 284

cross product, 237, 246

D’Alembert, 30, 32

DAlembert[], 64

de Vries, Gustav, 50, 62

decomposability, 200, 202, 215,

216, 238, 247

differential algebra, 113

differential equations, 1

animating solutions of, 13

autonomous, 4, 5

dispersive, 35

equivalence of, 9–11

linear, 4, 23, 25, 26, 29, 30,

40, 48

nonlinear, 4, 35, 38, 40

numerical solution, 15, 280,

282

ordinary, 4

partial, 4

solution, 2

symmetries, 66, 275

differential operators, 23–25, 52,

113, 138, 140, 154, 164

addition, 115

algebra of, 113

301