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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