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Application of inverse scattering method to singular solutions of nonlinear equations. I

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Literature Cited

  1. M. D. Kruskal, Lect. Appl. Math.,15, 61 (1974).

    Google Scholar 

  2. H. Airault, H. P. McKean, J. Moser, Commun. Pure Appl. Math.,30, 95 (1977).

    Google Scholar 

  3. F. Calogero, Nuovo Cimento B,43, 177 (1978).

    Google Scholar 

  4. G. P. Dzhordzhadze A. K. Pogrebkov, and M. K. Polivanov, Teor. Mat. Fiz.,40, 221 (1979).

    Google Scholar 

  5. A. K. Pogrebkov, Teor. Mat. Fiz.,45, 161 (1980).

    Google Scholar 

  6. A. K. Pogrebkov, Lett. Math. Phys.,5, 277 (1981).

    Google Scholar 

  7. A. K. Pogrebkov, Lett. Math. Phys.,6, 243 (1981); A. K. Pogrebkov and M. C. Polivanov, “Particles and fields in classical nonlinear models,” Preprint IC/81/237, ICTP, Trieste, Italy (1981).

    Google Scholar 

  8. G. P. Dzhordzhadze, A. K. Pogrebkov, and M. K. Polivanov, in: Generalized Functions and their Applications in Mathematical Physics [in Russian], MIAN-VTsAN, Moscow (1981), pp. 219–222.

    Google Scholar 

  9. V. E. Zakharov and A. B. Shabat, Zh. Eksp. Teor. Fiz.,64, 1627 (1973).

    Google Scholar 

  10. V. E. Zakharov and A. B. Shabat, Zh. Eksp. Teor. Fiz.,61, 118 (1971).

    Google Scholar 

  11. V. S. Gerdzhikov and P. P. Kulish, Teor. Mat. Fiz.,39, 69 (1979).

    Google Scholar 

  12. M. J. Ablowitz, D. J. Kaup, A. C. Newell, and H. Segur, Stud. Appl. Math.,53, 249 (1974).

    Google Scholar 

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V. A. Steklov Mathematics Institute, USSR Academy of Sciences. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 53, No. 2, pp. 163–180, November, 1982.

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Arkad'ev, V.A., Pogrebkov, A.K. & Polivanov, M.K. Application of inverse scattering method to singular solutions of nonlinear equations. I. Theor Math Phys 53, 1051–1062 (1982). https://doi.org/10.1007/BF01016674

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