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Hirota–Satsuma equation

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Hirota, Ryogo; Satsuma, Junkichi, N-Soliton Solutions of Model Equations for Shallow Water Waves, Journal of the Physical Society of Japan, Volume 40, Issue 2, pp. 611 (1976)
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Li Zhibing Traveling Wave Solutions of Nonlinear Mathematical Physics Equations P140, SCIENCEP 2008 (李志斌编著 《非线性数学物理方程的行波解》 140页 科学出版社 2008)
414: 95: 469: 455: 407: 418: 274: 202: 461: 436: 443: 62: 425: 393: 429: 43: 465: 451: 353:, first discussed by Hirota, Ryogo and Satsuma, Junkichi in 1976. The equation has multiple 447: 358: 17: 478: 400: 350: 52: 32: 354: 346: 392:
Graham W. Griffiths William E. Schiesser Traveling Wave Analysis of
191:{\displaystyle u_{t}-{\frac {1}{2}}u_{xxx}+3uu_{x}-3(vw)_{x}=0} 26: 406:
Inna Shingareva, Carlos Lizárraga-Celaya, Solving Nonlinear
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George Articolo, Partial Differential Equations &
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Richard H. Enns George C. McGuire, Nonlinear Physics
277: 205: 98: 442:David Betounes, Partial Differential Equations for 334: 262: 190: 8: 345:The Hirota–Satsuma equation appeared in the 320: 295: 282: 276: 248: 223: 210: 204: 176: 151: 126: 112: 103: 97: 485:Nonlinear partial differential equations 87:nonlinear partial differential equations 369: 335:{\displaystyle w_{t}+w_{xxx}-3uw_{x}=0} 263:{\displaystyle v_{t}+v_{xxx}-3uv_{x}=0} 435:Dongming Wang, Elimination Practice, 7: 396:p. 135 Equations Academy Press 25: 464:with Maple V Academic Press 1998 424:Saber Elaydi, An Introduction to 413:Eryk Infeld and George Rowlands, 31: 408:Partial Differential Equations 173: 163: 1: 501: 419:Cambridge University Press 85:is a set of three coupled 462:Boundary Value Problems 83:Hirota–Satsuma equation 46:, as no other articles 18:Hirota-Satsuma equation 437:Imperial College Press 417:, Solitons and Chaos, 336: 264: 192: 444:Computational Science 337: 265: 193: 426:Difference Equations 410:with Maple Springer. 394:Partial Differential 275: 203: 96: 332: 260: 188: 65:for suggestions. 55:to this page from 446:: With Maple and 120: 79: 78: 16:(Redirected from 492: 386: 383: 377: 374: 341: 339: 338: 333: 325: 324: 306: 305: 287: 286: 269: 267: 266: 261: 253: 252: 234: 233: 215: 214: 197: 195: 194: 189: 181: 180: 156: 155: 137: 136: 121: 113: 108: 107: 74: 71: 60: 58:related articles 35: 27: 21: 500: 499: 495: 494: 493: 491: 490: 489: 475: 474: 450:Springer, 1998 448:Vector Analysis 415:Nonlinear Waves 389: 384: 380: 375: 371: 367: 316: 291: 278: 273: 272: 244: 219: 206: 201: 200: 172: 147: 122: 99: 94: 93: 75: 69: 66: 56: 53:introduce links 36: 23: 22: 15: 12: 11: 5: 498: 496: 488: 487: 477: 476: 473: 472: 458: 440: 433: 422: 411: 404: 397: 388: 387: 378: 368: 366: 363: 359:traveling wave 357:solutions and 343: 342: 331: 328: 323: 319: 315: 312: 309: 304: 301: 298: 294: 290: 285: 281: 270: 259: 256: 251: 247: 243: 240: 237: 232: 229: 226: 222: 218: 213: 209: 198: 187: 184: 179: 175: 171: 168: 165: 162: 159: 154: 150: 146: 143: 140: 135: 132: 129: 125: 119: 116: 111: 106: 102: 77: 76: 63:Find link tool 39: 37: 30: 24: 14: 13: 10: 9: 6: 4: 3: 2: 497: 486: 483: 482: 480: 471: 470:9780120644759 467: 463: 459: 457: 456:9780387983004 453: 449: 445: 441: 438: 434: 431: 427: 423: 420: 416: 412: 409: 405: 402: 398: 395: 391: 390: 382: 379: 373: 370: 364: 362: 360: 356: 352: 348: 329: 326: 321: 317: 313: 310: 307: 302: 299: 296: 292: 288: 283: 279: 271: 257: 254: 249: 245: 241: 238: 235: 230: 227: 224: 220: 216: 211: 207: 199: 185: 182: 177: 169: 166: 160: 157: 152: 148: 144: 141: 138: 133: 130: 127: 123: 117: 114: 109: 104: 100: 92: 91: 90: 88: 84: 73: 64: 59: 54: 50: 49: 45: 40:This article 38: 34: 29: 28: 19: 381: 372: 344: 82: 80: 67: 41: 361:solutions. 351:water waves 349:of shallow 401:Birkhauser 365:References 70:March 2016 61:; try the 48:link to it 308:− 236:− 158:− 110:− 51:. Please 479:Category 430:Springer 355:soliton 468:  454:  347:theory 44:orphan 42:is an 403:,1997 466:ISBN 452:ISBN 439:2004 432:2000 421:2000 81:The 481:: 428:, 89:: 330:0 327:= 322:x 318:w 314:u 311:3 303:x 300:x 297:x 293:w 289:+ 284:t 280:w 258:0 255:= 250:x 246:v 242:u 239:3 231:x 228:x 225:x 221:v 217:+ 212:t 208:v 186:0 183:= 178:x 174:) 170:w 167:v 164:( 161:3 153:x 149:u 145:u 142:3 139:+ 134:x 131:x 128:x 124:u 118:2 115:1 105:t 101:u 72:) 68:( 20:)

Index

Hirota-Satsuma equation

orphan
link to it
introduce links
related articles
Find link tool
nonlinear partial differential equations
theory
water waves
soliton
traveling wave
Partial Differential
Birkhauser
Partial Differential Equations
Nonlinear Waves
Cambridge University Press
Difference Equations
Springer
Imperial College Press
Computational Science
Vector Analysis
ISBN
9780387983004
Boundary Value Problems
ISBN
9780120644759
Category
Nonlinear partial differential equations

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