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

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