|
|
|
|
References
|
|
| |
| 1. |
N. Yajima, M. Oikawa, J. Satsuma, “Interaction of ion-acoustic solitons in three-dimensional space”, J. Phys. Soc. Japan, 44:5 (1978), 1711–1714  |
| 2. |
F. Kako, N. Yajima, “Interaction of ion-acoustic solitons in two-dimensional space”, J. Phys. Soc. Japan, 49:5 (1980), 2063–2071   |
| 3. |
E. Infeld, Dzh. Roulands, Nelineinye volny, solitony i khaos, M., Fizmatlit, 2006 |
| 4. |
Y. Chen, R. Liu, “Some new nonlinear wave solutions for two $(3+1)$-dimensional equations”, Appl. Math. Comput., 260:1 (2015), 397–411 |
| 5. |
A. Boruah, S. K. Sharma, H. Bailung, Y. Nakamura, “Oblique collision of dust acoustic solitons in a strongly coupled dusty plasma”, Phys. Plasmas, 22:9 (2015), 093706 |
| 6. |
M. O. Korpusov, A. A. Panin, “Lokalnaya razreshimost i razrushenie resheniya dlya uravneniya Bendzhamena–Bona–Makhoni–Byurgersa s nelokalnym granichnym usloviem”, TMF, 175:2 (2013), 159–172   |
| 7. |
E. Mitidieri, S. I. Pokhozhaev, “Apriornye otsenki i otsutstvie reshenii nelineinykh uravnenii i neravenstv v chastnykh proizvodnykh”, Tr. MIAN, 234, 2001, 3–383 |
| 8. |
H. A. Levine, “Some nonexistence and instability theorems for solutions of formally parabolic equations of the form $Pu_t=-Au+\mathcal{F}(u)$”, Arch. Rational Mech. Anal., 51:5 (1973), 371–386 |
| 9. |
H. A. Levine, “Instability and nonexistence of global solutions to nonlinear wave equations of the form $Pu_{tt}=-Au+\mathscr{F}(u)$”, Trans. Amer. Math. Soc., 192 (1974), 1–21 |
| 10. |
V. K. Kalantarov, O. A. Ladyzhenskaya, “O vozniknovenii kollapsov dlya kvazilineinykh uravnenii parabolicheskogo i giperbolicheskogo tipov”, Zap. nauchn. sem. LOMI, 69 (1977), 77–102 |
| 11. |
A. G. Sveshnikov, A. B. Alshin, M. O. Korpusov, Yu. D. Pletner, Lineinye i nelineinye uravneniya sobolevskogo tipa, Fizmatlit, M., 2007 |
| 12. |
A. A. Samarskii, V. A. Galaktionov, S. P. Kurdyumov, A. P. Mikhailov, Rezhimy s obostreniem v zadachakh dlya kvazilineinykh parabolicheskikh uravnenii, Nauka, M., 1987 |
| 13. |
V. A. Galaktionov, S. I. Pokhozhaev, “Uravneniya nelineinoi dispersii tretego poryadka: udarnye volny, volny razrezheniya i razrusheniya”, Zh. vychisl. matem. i matem. fiz., 48:10 (2008), 1819–1846 |
| 14. |
A. A. Panin, “O lokalnoi razreshimosti i razrushenii resheniya abstraktnogo nelineinogo integralnogo uravneniya Volterra”, Matem. zametki, 97:6 (2015), 884–903 |
| 15. |
M. O. Korpusov, A. G. Sveshnikov, E. V. Yushkov, Metody teorii razrusheniya reshenii nelineinykh uravnenii matematicheskoi fiziki, Fizicheskii fakultet MGU, M., 2014 |
