Publication Cover
Applicable Analysis
An International Journal
Volume 41, 1991 - Issue 1-4
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Original Articles

Solution of the forced nonlinear schrödinger (nls) equation using pde techniques

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Pages 33-51 | Received 28 Sep 1990, Published online: 02 May 2007

References

  • Barab , J. 1984 . J. of Math. Physics , 25 : 3270 – 3273 .
  • Bikbaev , R. and Its , A. 1989 . Mat. Zametki , 45 : 3 – 9 .
  • Bona , J. and Winther , R. 1983 . SIAM J. Math. Anal , 6 : 1056 – 1106 .
  • Calogero , F. and de Lillo , S. 1988 . Inverse Probs , 4 : 33 – 37 .
  • Carroll , R. 1990 . Japan J . Applied Math , 7 : 321 – 344 .
  • Carroll , R. 1989 . Symp. Evolution Equations, RIMS, Kyoto Univ . Kokyuroku , 698 : 94 – 101 .
  • Carroll , R. 1989 . Springer Lecture Notes Math , 1394 : 11 – 17 .
  • Carroll , R. 1988 . Abstract Method in PDE , N.Y : Harper Row .
  • Carroll , R. 1988 . Mathematical Physics , Amsterdam : North Holland .
  • Carroll , R. and Oharu , S. 1987 . Some Remarks on Forced KdV . Appl. Anal , 18 to appear
  • Constantin , P. , Saut , J. and AMS , J. 1988 . Indiana Math.J , 1 : 413 – 439 .
  • Faddeev , I. and Takhtajan , C. 1987 . Hamilton Methods in the Theory of , New York : Springer .
  • Fokas , A. 1989 . Physica , 35D : 167 – 185 .
  • Fokas , A. and Ablowitz , M. 1989 . Studies Appl. Math , 80 : 253 – 272 .
  • Ghidaglia , J. and Saut , J. 1990 . Nonlinearity , 3 : 475 – 506 .
  • Ghidaglia , J. and Ann , H. 1988 . Poincare , 5 : 365 – 405 .
  • Glassey , R. 1977 . J. Math. Physics , 18 : 1794 – 1797 .
  • Hayashi , N. , Nakamitsu , K. and Tsutsumi , M. 1986 . Math. Zeit , 192 : 637 – 650 .
  • Kato , T. 1989 . Lect. Notes Physics . Springer , 345 : 218 – 263 .
  • Kaup , D. and Hansen , P. 1986 . Physica , 18D : 77 – 84 .
  • Kaup , D. and Wycoff , D. 1989 . Studies Appl. Math , 81 : 7 – 19 .
  • Kaup , D. 1987 . Physica , 25D : 361 – 368 .
  • Kaup , D. 1984 . Advances in Nonlinear Waves , 197 – 209 . London : Pitman Press .
  • Leon , J. 1990 . Phys. Lett , 144 : 444 – 452 .
  • Lions , J. and Magenes , E. 1968 . Prob. aux Limites Non Homog. et Appl , 1 – 2 . Paris : Dunod .
  • Melnikov , V. 1990 . Inverse Probs , 6 : 233 – 246 .
  • Newton , P. 1988 . J. of Math. Physics , 29 : 2245 – 2249 .
  • Nirenberg , L. 1959 . Annali Scuola Norm. Sup. Pisa , 13 : 115 – 162 .
  • Oharu , S. and Takahashi , T. 1986 . Proc. AMS , 97 : 139 – 145 .
  • Pazy , A. 1983 . Semigroups of Linear Operators and Application to PDE , New York : Springer .
  • Sauer , N. 1982 . Proc. Roy. Soc. Edinburgh , 91A : 287 – 303 .
  • Sauer , N. 1988 . Proc. Roy. Soc. Edinburgh , 110A : 92 – 99 .
  • Sklyanin , E. 1987 . Funkts. Anal. Priloz , 21 : 86 – 87 .
  • Strauss , W. 1978 . Contemporary Development in Continuum Mechanics , North Holland : Amsterdam .
  • Tanabe , H. 1979 . Eqs. of Evolution , London : Pitman Press .
  • Terrones , G. , McLaughlin , D. , Overman , E. and Pearlstein , H. 1990 . SIAM J , 50 : 791 – 818 .
  • Temam , R. 1969 . J. Math. Pures Appl , 48 : 152 – 172 .
  • Ton , B. 197 . J. Diff. Eqs , 25 : 288 – 309 .
  • Tsutsumi , M. 1990 . J. Math. Anal. Appl , 145 : 328 – 341 .
  • Tsutsumi , Y. 1987 . Funkcial. Ekvac , 30 : 115 – 125 .
  • Ukai , S. 1989 . J. Fac. Sci. Univ , 36 : 193 – 209 .
  • vander Merve , A. 1988 . Applic. Anal , 29 : 91 – 105 .
  • Weinstein , M. 1989 . Contemporary Math , 99 : 213 – 232 .

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