Zobrazeno 1 - 10
of 31
pro vyhledávání: '"T. Khabibullin"'
Autor:
E. V. Gudkova, I. T. Khabibullin
Publikováno v:
Functional Analysis and Its Applications. 38:138-148
We suggest an efficient method for finding boundary conditions compatible with integrability for multidimensional integrable equations of Kadomtsev-Petviashvili type. It is observed in all known examples that imposing an integrable boundary condition
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::79d4628dfe11c9fa178a6803c7bdcf77
https://doi.org/10.1023/b:faia.0000034044.01773.dd
https://doi.org/10.1023/b:faia.0000034044.01773.dd
Autor:
I. T. Khabibullin
Publikováno v:
Theoretical and Mathematical Physics. 119:712-718
We solve the mixed problem for the KdV equation with the boundary condition u|x=0=0, uxx|x=0=0 using the inverse scattering method. The time evolution of the scattering matrix is efficiently defined from the consistency condition for the spectra of t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9ba33814e9af95650ad2fd4624fc26af
https://doi.org/10.1007/bf02557381
https://doi.org/10.1007/bf02557381
Autor:
I. T. Khabibullin
Publikováno v:
Theoretical and Mathematical Physics. 114:90-98
We investigate the sine-Gordon equation utt−uxx+sinu=0 on the semi-axis x>0. We show that boundary conditions of the forms ux(0,t)=c1 cos(u(0,t)/2)+c2 sin(u(0,t)/2) and u(0,t)=c are compatible with the Backlund transformation. We construct a multis
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::947afec5ac9654e51359e6db2e548eb8
https://doi.org/10.1007/bf02557111
https://doi.org/10.1007/bf02557111
Autor:
I. T. Khabibullin, S. I. Svinolupov
Publikováno v:
Mathematical Notes. 60:671-680
Infinite series of boundary conditions that are consistent with even-order higher symmetries and ensure the integrability of a Burgers type equation are constructed.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::af3a562066e076be81131da04d0dca0d
https://doi.org/10.1007/bf02305160
https://doi.org/10.1007/bf02305160
Autor:
B. I. Suleimanov, I. T. Khabibullin
Publikováno v:
Theoretical and Mathematical Physics. 97:1250-1258
A special solution of the Kadomtsev-Petviashvili equation $$u_{tx} + u_{xxxx} + 3u_{yy} + 3(u^2 )_{xx} = 0$$ that is a “nonlinear” analog of the special function of wave catastrophe corresponding to a singularity of swallowtail type is considered
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2bdf36c3965c41f39b6da710da43b5bb
https://doi.org/10.1007/bf01016870
https://doi.org/10.1007/bf01016870
Autor:
I. T. Khabibullin
Publikováno v:
Theoretical and Mathematical Physics. 96:845-853
Infinite series of local boundary conditions completely compatible with the inverse scattering method are presented for the nonlinear Schrodinger equation and the sine—Gordon equation.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9d08e9e8c94964bfe8151f8451de1851
https://doi.org/10.1007/bf01074113
https://doi.org/10.1007/bf01074113
Autor:
I. T. Khabibullin
Publikováno v:
Theoretical and Mathematical Physics. 91:581-590
Examples of boundary conditions compatible with the integrability property of the Ishimori equation are found by adjoining a point symmetry of reflection type to Backlund and Miura transformations. Soliton solutions of the corresponding boundary-valu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d2ab4bff586ce9f8d724fa396bd10583
https://doi.org/10.1007/bf01017333
https://doi.org/10.1007/bf01017333
Autor:
I. T. Khabibullin
Publikováno v:
Mathematical Notes of the Academy of Sciences of the USSR. 49:418-423
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9b2dbb862a4ab8e52f5eb2518332c355
https://doi.org/10.1007/bf01158222
https://doi.org/10.1007/bf01158222
Autor:
I. T. Khabibullin
Publikováno v:
Theoretical and Mathematical Physics. 86:28-36
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::41956acf177e96637f6675ef465c5c4f
https://doi.org/10.1007/bf01018494
https://doi.org/10.1007/bf01018494
Autor:
I. T. Khabibullin, A. G. Shagalov
Publikováno v:
Theoretical and Mathematical Physics. 83:565-573
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::94179ecaaecd2ab2761c09f2063da4b1
https://doi.org/10.1007/bf01018024
https://doi.org/10.1007/bf01018024