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Ohta, Yasuhiro

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Author ID: ohta.yasuhiro Recent zbMATH articles by "Ohta, Yasuhiro"
Published as: Ohta, Yasuhiro; Ohta, Y.; Ohta, Ya.
Documents Indexed: 115 Publications since 1982

Publications by Year

Citations contained in zbMATH Open

96 Publications have been cited 923 times in 556 Documents Cited by Year
General high-order rogue waves and their dynamics in the nonlinear Schrödinger equation. Zbl 1364.76033
Ohta, Yasuhiro; Yang, Jianke
77
2012
Hierarchies of coupled soliton equations. I. Zbl 1160.37395
Hirota, Ryogo; Ohta, Yasuhiro
52
1991
Dynamics of rogue waves in the Davey-Stewartson II equation. Zbl 1311.35298
Ohta, Yasuhiro; Yang, Jianke
39
2013
General \(N\)-dark-dark solitons in the coupled nonlinear Schrödinger equations. Zbl 1244.35137
Ohta, Yasuhiro; Wang, Deng-Shan; Yang, Jianke
34
2011
Integrable discretizations of the short pulse equation. Zbl 1189.78051
Feng, Bao-Feng; Maruno, Ken-Ichi; Ohta, Yasuhiro
31
2010
Casorati and discrete Gram type determinant representations of solutions to the discrete KP hierarchy. Zbl 0972.37536
Ohta, Yasuhiro; Hirota, Ryogo; Tsujimoto, Satoshi; Imai, Tatsuya
28
1993
Determinant structure of the rational solutions for the Painlevé IV equation. Zbl 0919.34008
Kajiwara, Kenji; Ohta, Yasuhiro
24
1998
A bilinear approach to a Pfaffian self-dual Yang-Mills equation. Zbl 0986.35109
Ohta, Y.; Nimmo, J. J. C.; Gilson, C. R.
23
2001
An integrable semi-discretization of the Camassa-Holm equation and its determinant solution. Zbl 1180.76011
Ohta, Yasuhiro; Maruno, Ken-Ichi; Feng, Bao-Feng
21
2008
Determinant structure of the rational solutions for the Painlevé II equation. Zbl 0865.34010
Kajiwara, Kenji; Ohta, Yasuhiro
21
1996
General rogue waves in the focusing and defocusing Ablowitz-Ladik equations. Zbl 1294.35121
Ohta, Yasuhiro; Yang, Jianke
20
2014
On the autonomous limit of discrete Painlevé equations. Zbl 0992.39015
Ramani, A.; Carstea, A. S.; Grammaticos, B.; Ohta, Y.
19
2002
On discrete Painlevé equations associated with the lattice KdV systems and the Painlevé VI equation. Zbl 1152.39313
Nijhoff, F. W.; Ramani, A.; Grammaticos, B.; Ohta, Y.
19
2001
\(_{10}E_9\) solution to the elliptic Painlevé equation. Zbl 1044.39014
Kajiwara, Kenji; Masuda, Tetsu; Noumi, Masatoshi; Ohta, Yasuhiro; Yamada, Yasuhiko
19
2003
Hypergeometric solutions to the \(q\)-Painlevé equations. Zbl 1076.33015
Kajiwara, K.; Masuda, T.; Noumi, M.; Ohta, Y.; Yamada, Y.
18
2004
An affine Weyl group approach to the eight-parameter discrete Painlevé equation. Zbl 1002.39029
Ohta, Y.; Ramani, A.; Grammaticos, B.
18
2001
Quantum Jacobi-Trudi and Giambelli formulae for \(U_ q(B_ r^{(1)})\) from the analytic Bethe ansatz. Zbl 0871.17015
Kuniba, Atsuo; Ohta, Yasuhiro; Suzuki, Junji
18
1995
On discretizations of the vector nonlinear Schrödinger equation. Zbl 0938.35174
Ablowitz, Mark J.; Ohta, Yasuhiro; Trubatch, A. David
18
1999
A determinant formula for a class of rational solutions of Painlevé V equation. Zbl 1052.34085
Masuda, Tetsu; Ohta, Yasuhiro; Kajiwara, Kenji
17
2002
Quasideterminant solutions of a non-abelian Hirota-Miwa equation. Zbl 1131.37308
Gilson, C. R.; Nimmo, J. J. C.; Ohta, Y.
16
2007
A self-adaptive moving mesh method for the Camassa-Holm equation. Zbl 1201.65155
Feng, Bao-Feng; Maruno, Ken-Ichi; Ohta, Yasuhiro
16
2010
Discrete integrable systems and hodograph transformations arising from motions of discrete plane curves. Zbl 1245.35101
Feng, Bao-Feng; Inoguchi, Jun-Ichi; Kajiwara, Kenji; Maruno, Ken-Ichi; Ohta, Yasuhiro
13
2011
A new class of integrable discrete systems. Zbl 1042.37012
Kimura, K.; Yahagi, H.; Hirota, R.; Ramani, A.; Grammaticos, B.; Ohta, Y.
13
2002
Degeneration through coalescence of the \(q\)-Painlevé VI equation. Zbl 0932.39017
Grammaticos, B.; Ohta, Y.; Ramani, A.; Sakai, H.
12
1998
Discrete integrable systems from continuous Painlevé equations through limiting procedures. Zbl 0963.37069
Ramani, A.; Ohta, Y.; Grammaticos, B.
11
2000
From the real and complex coupled dispersionless equations to the real and complex short pulse equations. Zbl 1332.35331
Shen, Shoufeng; Feng, Bao-Feng; Ohta, Yasuhiro
11
2016
Self-duality and Schlesinger chains for the asymmetric \(\text{d-P}_{\text{II}}\) and \(\text{q-P}_{\text{III}}\) equations. Zbl 0911.39007
Ramani, A.; Ohta, Y.; Satsuma, J.; Grammaticos, B.
10
1998
Two-component analogue of two-dimensional long wave-short wave resonance interaction equations: A derivation and solutions. Zbl 1117.35076
Ohta, Yasuhiro; Maruno, Ken-Ichi; Oikawa, Masayuki
10
2007
Casorati determinant solution for the relativistic Toda lattice equation. Zbl 0785.34016
Ohta, Yasuhiro; Kajiwara, Kenji; Matsukidaira, Junta; Satsuma, Junkichi
10
1993
Singularity confinement and algebraic entropy: the case of the discrete Painlevé equations. Zbl 0939.37041
Ohta, Y.; Tamizhmani, K. M.; Grammaticos, B.; Ramani, A.
10
1999
Localized solitons of a \((2+1)\)-dimensional nonlocal nonlinear Schrödinger equation. Zbl 1221.81056
Maruno, Ken-Ichi; Ohta, Yasuhiro
9
2008
Casorati determinant solutions for the discrete Painlevé III equation. Zbl 0856.39001
Kajiwara, Kenji; Ohta, Yasuhiro; Satsuma, Junkichi
9
1995
Linearizable mappings and the low-growth criterion. Zbl 0962.37020
Ramani, A.; Grammaticos, B.; Lafortune, S.; Ohta, Y.
9
2000
Casorati determinant solutions for the discrete Painlevé-II equation. Zbl 0811.35150
Kajiwara, Kenji; Ohta, Yasuhiro; Satsuma, Junkichi; Grammaticos, Basil; Ramani, Alfred
8
1994
Rational solutions for the discrete Painlevé II equation. Zbl 1053.39500
Kajiwara, Kenji; Yamamoto, Kazushi; Ohta, Yasuhiro
8
1997
Applications of Darboux transformations to the self-dual Yang-Mills equations. Zbl 0971.53022
Nimmo, J. J. C.; Gilson, C. R.; Ohta, Y.
8
2000
Integrable semi-discretizations of the reduced Ostrovsky equation. Zbl 1312.37039
Feng, Bao-Feng; Maruno, Ken-ichi; Ohta, Yasuhiro
8
2015
Point configurations, Cremona transformations and the elliptic difference Painlevé equation. Zbl 1137.39011
Kajiwara, Kenji; Masuda, Tetsu; Noumi, Masatohsi; Ohta, Yasuhiro; Yamada, Yasuhiko
7
2006
Cubic pencils and Painlevé Hamiltonians. Zbl 1161.34064
Kajiwara, K.; Masuda, T.; Noumi, M.; Ohta, Y.; Yamada, Y.
7
2005
Constructing solutions to the ultradiscrete Painlevé equations. Zbl 0926.39007
Takahashi, D.; Tokihiro, T.; Grammaticos, B.; Ohta, Y.; Ramani, A.
7
1997
Determinant formulas for the Toda and discrete Toda equations. Zbl 1145.37327
Kajiwara, Kenji; Masuda, Tetsu; Noumi, Masatoshi; Ohta, Yasuhiro; Yamada, Yasuhiko
7
2001
Construction of hypergeometric solutions to the \(q\)-Painlevé equations. Zbl 1082.33013
Kajiwara, K.; Masuda, T.; Noumi, M.; Ohta, Y.; Yamada, Y.
7
2005
Special solutions of discrete integrable systems. Zbl 1065.37049
Ohta, Y.
6
2004
Bilinear form approach to the self-dual Yang-Mills equations and integrable systems in \((2+1)\)-dimension. Zbl 0947.37044
Sasa, Narimasa; Ohta, Yasuhiro; Matsukidaira, Junta
6
1998
A unified description of the asymmetric \(q\text{-P}_{\text{V}}\) and \(d\text{-P}_{\text{IV}}\) equations and their Schlesinger transformations. Zbl 1034.34104
Grammaticos, B.; Ramani, A.; Ohta, Y.
6
2003
The space of initial conditions for linearizable mappings. Zbl 1021.37023
Takenawa, T.; Eguchi, M.; Grammaticos, B.; Ohta, Y.; Ramani, A.; Satsuma, J.
6
2003
Elliptic discrete Painlevé equations. Zbl 1056.39027
Ohta, Y.; Ramani, A.; Grammaticos, B.
6
2002
Motion and Bäcklund transformations of discrete plane curves. Zbl 1269.53008
Inoguchi, Jun-Ichi; Kajiwara, Kenji; Matsuura, Nozomu; Ohta, Yasuhiro
6
2012
Integrable semi-discretization of a multi-component short pulse equation. Zbl 1315.35201
Feng, Bao-Feng; Maruno, Ken-ichi; Ohta, Yasuhiro
6
2015
Integrable discretizations and self-adaptive moving mesh method for a coupled short pulse equation. Zbl 1331.65131
Feng, Bao-Feng; Chen, Junchao; Chen, Yong; Maruno, Ken-Ichi; Ohta, Yasuhiro
6
2015
A two-component generalization of the reduced Ostrovsky equation and its integrable semi-discrete analogue. Zbl 1368.37077
Feng, Bao-Feng; Maruno, Ken-Ichi; Ohta, Yasuhiro
6
2017
Pfaffian solution for coupled discrete nonlinear Schrödinger equation. Zbl 1115.37350
Ohta, Y.
5
2000
On integrability and chaos in discrete systems. Zbl 1160.37413
Ablowitz, Mark J.; Ohta, Yasuhiro; Trubatch, A. David
5
2000
A remark on the Hankel determinant formula for solutions of the Toda equation. Zbl 1129.37039
Kajiwara, Kenji; Mazzocco, Marta; Ohta, Yasuhiro
5
2007
Integrable discretizations for the short-wave model of the Camassa-Holm equation. Zbl 1196.37106
Feng, Bao-Feng; Maruno, Ken-Ichi; Ohta, Yasuhiro
5
2010
Casorati determinant form of dark soliton solutions of the discrete nonlinear Schrödinger equation. Zbl 1223.35269
Maruno, Ken-ichi; Ohta, Yasuhiro
5
2006
On the {\(\tau\)}-functions of the Degasperis-Procesi equation. Zbl 1264.35187
Feng, Bao-Feng; Maruno, Ken-Ichi; Ohta, Yasuhiro
5
2013
From discrete to continuous Painlevé equations: a bilinear approach. Zbl 0972.35529
Ohta, Y.; Ramani, A.; Grammaticos, B.; Tamizhmani, K. M.
5
1996
Exact localized solutions of quintic discrete nonlinear Schrödinger equation. Zbl 1019.35067
Maruno, Ken-Ichi; Ohta, Yasuhiro; Joshi, Nalini
5
2003
The derivative yajima-oikawa system: bright, dark soliton and breather solutions. Zbl 1401.35264
Chen, Junchao; Feng, Bao-Feng; Maruno, Ken-ichi; Ohta, Yasuhiro
5
2018
Self-adaptive moving mesh schemes for short pulse type equations and their Lax pairs. Zbl 1327.65181
Feng, Bao-Feng; Maruno, Kenichi; Ohta, Yasuhiro
5
2014
An integrable semi-discretization of the coupled Yajima-Oikawa system. Zbl 1343.37063
Chen, Junchao; Chen, Yong; Feng, Bao-Feng; Maruno, Ken-Ichi; Ohta, Yasuhiro
5
2016
On the \(\tau \)-functions of the reduced Ostrovsky equation and the \(A^{(2)}_{2}\) two-dimensional Toda system. Zbl 1381.37081
Feng, Bao-Feng; Maruno, Ken-Ichi; Ohta, Yasuhiro
4
2012
\(q\)-discretization of the two-dimensional Toda equations. Zbl 0850.35116
Kajiwara, K.; Ohta, Ya.; Satsuma, J.
4
1994
The ultimate discretisation of the Painlevé equations. Zbl 0936.39006
Ramani, A.; Takahashi, D.; Grammaticos, B.; Ohta, Y.
4
1998
A geometrical description of the discrete Painlevé VI and V equations. Zbl 0980.39010
Ramani, A.; Grammaticos, B.; Ohta, Y.
4
2001
Dark soliton solution of Sasa-Satsuma equation. Zbl 1214.81083
Ohta, Y.
3
2010
Discrete systems related to the sixth Painlevé equation. Zbl 1108.39016
Ramani, A.; Ohta, Y.; Grammaticos, B.
3
2006
Integrable discretizations of the Dym equation. Zbl 1303.37022
Feng, Bao-Feng; Inoguchi, Jun-Ichi; Kajiwara, Kenji; Maruno, Ken-Ichi; Ohta, Yasuhiro
3
2013
Cellular automata and ultra-discrete Painlevé equations. Zbl 0912.34005
Grammaticos, B.; Ohta, Y.; Ramani, A.; Takahashi, D.; Tamizhmani, K. M.
3
1997
Cellular automata and ultra-discrete Painlevé equations. Zbl 0962.82527
Grammaticos, B.; Ohta, Y.; Ramani, A.; Takahashi, D.; Tamizhmani, K. M.
3
1997
Determinant and Pfaffian solutions for discrete soliton equations. Zbl 0962.35148
Ohta, Y.
3
2000
Integrable third-order mappings and their growth properties. Zbl 1011.39017
Lafortune, S.; Carstea, A. S.; Ramani, A.; Grammaticos, B.; Ohta, Y.
3
2001
Explicit solutions to the semi-discrete modified KdV equation and motion of discrete plane curves. Zbl 1242.37045
Inoguchi, Jun-Ichi; Kajiwara, Kenji; Matsuura, Nozomu; Ohta, Yasuhiro
3
2012
Discrete mKdV and discrete sine-Gordon flows on discrete space curves. Zbl 1299.35264
Inoguchi, Jun-Ichi; Kajiwara, Kenji; Matsuura, Nozomu; Ohta, Yasuhiro
3
2014
An integrable semi-discrete Degasperis-Procesi equation. Zbl 1369.35078
Feng, Bao-Feng; Maruno, Ken-Ichi; Ohta, Yasuhiro
2
2017
Discretization of the new type of soliton equations. Zbl 1223.35276
Hirota, Ryogo; Ohta, Yasuhiro
2
2007
Analytical method for vibration of angle-ply cylindrical shells having arbitrary edges. Zbl 0825.73322
Narita, Y.; Ohta, Y.; Yamada, G.; Kobayashi, Y.
2
1992
From discrete to continuous Painlevé equations: a bilinear approach. Zbl 0911.34006
Ohta, Y.; Ramani, A.; Grammaticos, B.; Tamizhmani, K. M.
2
1996
A study of the discrete \(P_ V\) equation: Miura transformations and particular solutions. Zbl 0863.39004
Tamizhmani, K. M.; Ramani, A.; Grammaticos, B.; Ohta, Y.
2
1996
Bilinear structure and exact solutions of the discrete Painlevé I equation. Zbl 0859.35120
Ohta, Yasuhiro; Kajiwara, Kenji; Satsuma, Junkichi
2
1996
A modified complex short pulse equation of defocusing type. Zbl 1420.35326
Shen, Shoufeng; Feng, Bao-Feng; Ohta, Yasuhiro
2
2017
Discretization of toroidal soliton equations. Zbl 1362.35251
Ohta, Yasuhiro
2
2003
Stability analysis of nonlinear composite systems including time delays. Zbl 0527.93051
Ohta, Y.; Douseki, T.; Matsumoto, T.
1
1982
Self-dual construction of discrete Painlevé equations. Zbl 0951.39502
Ohta, Yasuhiro
1
1999
A differential-difference system related to toroidal Lie algebra. Zbl 1004.37055
Kakei, Saburo; Ohta, Yasuhiro
1
2001
Similarity reductions of Hirota bilinear equations and Painlevé equations. Zbl 1123.37030
Tamizhmani, K. M.; Grammaticos, B.; Ramani, A.; Ohta, Y.; Tamizhmani, T.
1
2006
Discretization of coupled nonlinear Schrödinger equations. Zbl 1172.35494
Ohta, Yasuhiro
1
2009
Bilinearization and Casorati determinant solutions to non-autonomous \(1+1\) dimensional discrete soliton equations. Zbl 1225.39011
Kajiwara, Kenji; Ohta, Yasuhiro
1
2009
Integrability criteria for differential-difference systems: A comparison of singularity confinement and low-growth requirements. Zbl 0946.37038
Tamizhmani, K. M.; Ramani, A.; Grammaticos, B.; Ohta, Y.
1
1999
The \(q\)-Painlevé V equation and its geometrical description. Zbl 0980.39009
Ramani, A.; Grammaticos, B.; Ohta, Y.
1
2001
Some aspects of the Toda molecule. Zbl 1076.37067
Nishizawa, M.; Ohta, Y.; Tsujimoto, S.
1
2005
Discrete local induction equation. Zbl 1422.37046
Hirose, Sampei; Inoguchi, Jun-ichi; Kajiwara, Kenji; Matsuura, Nozomu; Ohta, Yasuhiro
1
2019
Isoperimetric deformations of curves on the Minkowski plane. Zbl 1420.14075
Park, Hyeongki; Inoguchi, Jun-Ichi; Kajiwara, Kenji; Maruno, Ken-Ichi; Matsuura, Nozomu; Ohta, Yasuhiro
1
2019
\(N\)-bright-dark soliton solution to a semi-discrete vector nonlinear Schrödinger equation. Zbl 1387.39003
Feng, Bao-Feng; Ohta, Yasuhiro
1
2017
Geometric formulation and multi-dark soliton solution to the defocusing complex short pulse equation. Zbl 1364.35308
Feng, Bao-Feng; Maruno, Ken-Ichi; Ohta, Yasuhiro
1
2017
Discrete local induction equation. Zbl 1422.37046
Hirose, Sampei; Inoguchi, Jun-ichi; Kajiwara, Kenji; Matsuura, Nozomu; Ohta, Yasuhiro
1
2019
Isoperimetric deformations of curves on the Minkowski plane. Zbl 1420.14075
Park, Hyeongki; Inoguchi, Jun-Ichi; Kajiwara, Kenji; Maruno, Ken-Ichi; Matsuura, Nozomu; Ohta, Yasuhiro
1
2019
The derivative yajima-oikawa system: bright, dark soliton and breather solutions. Zbl 1401.35264
Chen, Junchao; Feng, Bao-Feng; Maruno, Ken-ichi; Ohta, Yasuhiro
5
2018
A two-component generalization of the reduced Ostrovsky equation and its integrable semi-discrete analogue. Zbl 1368.37077
Feng, Bao-Feng; Maruno, Ken-Ichi; Ohta, Yasuhiro
6
2017
An integrable semi-discrete Degasperis-Procesi equation. Zbl 1369.35078
Feng, Bao-Feng; Maruno, Ken-Ichi; Ohta, Yasuhiro
2
2017
A modified complex short pulse equation of defocusing type. Zbl 1420.35326
Shen, Shoufeng; Feng, Bao-Feng; Ohta, Yasuhiro
2
2017
\(N\)-bright-dark soliton solution to a semi-discrete vector nonlinear Schrödinger equation. Zbl 1387.39003
Feng, Bao-Feng; Ohta, Yasuhiro
1
2017
Geometric formulation and multi-dark soliton solution to the defocusing complex short pulse equation. Zbl 1364.35308
Feng, Bao-Feng; Maruno, Ken-Ichi; Ohta, Yasuhiro
1
2017
From the real and complex coupled dispersionless equations to the real and complex short pulse equations. Zbl 1332.35331
Shen, Shoufeng; Feng, Bao-Feng; Ohta, Yasuhiro
11
2016
An integrable semi-discretization of the coupled Yajima-Oikawa system. Zbl 1343.37063
Chen, Junchao; Chen, Yong; Feng, Bao-Feng; Maruno, Ken-Ichi; Ohta, Yasuhiro
5
2016
Integrable semi-discretizations of the reduced Ostrovsky equation. Zbl 1312.37039
Feng, Bao-Feng; Maruno, Ken-ichi; Ohta, Yasuhiro
8
2015
Integrable semi-discretization of a multi-component short pulse equation. Zbl 1315.35201
Feng, Bao-Feng; Maruno, Ken-ichi; Ohta, Yasuhiro
6
2015
Integrable discretizations and self-adaptive moving mesh method for a coupled short pulse equation. Zbl 1331.65131
Feng, Bao-Feng; Chen, Junchao; Chen, Yong; Maruno, Ken-Ichi; Ohta, Yasuhiro
6
2015
General rogue waves in the focusing and defocusing Ablowitz-Ladik equations. Zbl 1294.35121
Ohta, Yasuhiro; Yang, Jianke
20
2014
Self-adaptive moving mesh schemes for short pulse type equations and their Lax pairs. Zbl 1327.65181
Feng, Bao-Feng; Maruno, Kenichi; Ohta, Yasuhiro
5
2014
Discrete mKdV and discrete sine-Gordon flows on discrete space curves. Zbl 1299.35264
Inoguchi, Jun-Ichi; Kajiwara, Kenji; Matsuura, Nozomu; Ohta, Yasuhiro
3
2014
Dynamics of rogue waves in the Davey-Stewartson II equation. Zbl 1311.35298
Ohta, Yasuhiro; Yang, Jianke
39
2013
On the {\(\tau\)}-functions of the Degasperis-Procesi equation. Zbl 1264.35187
Feng, Bao-Feng; Maruno, Ken-Ichi; Ohta, Yasuhiro
5
2013
Integrable discretizations of the Dym equation. Zbl 1303.37022
Feng, Bao-Feng; Inoguchi, Jun-Ichi; Kajiwara, Kenji; Maruno, Ken-Ichi; Ohta, Yasuhiro
3
2013
General high-order rogue waves and their dynamics in the nonlinear Schrödinger equation. Zbl 1364.76033
Ohta, Yasuhiro; Yang, Jianke
77
2012
Motion and Bäcklund transformations of discrete plane curves. Zbl 1269.53008
Inoguchi, Jun-Ichi; Kajiwara, Kenji; Matsuura, Nozomu; Ohta, Yasuhiro
6
2012
On the \(\tau \)-functions of the reduced Ostrovsky equation and the \(A^{(2)}_{2}\) two-dimensional Toda system. Zbl 1381.37081
Feng, Bao-Feng; Maruno, Ken-Ichi; Ohta, Yasuhiro
4
2012
Explicit solutions to the semi-discrete modified KdV equation and motion of discrete plane curves. Zbl 1242.37045
Inoguchi, Jun-Ichi; Kajiwara, Kenji; Matsuura, Nozomu; Ohta, Yasuhiro
3
2012
General \(N\)-dark-dark solitons in the coupled nonlinear Schrödinger equations. Zbl 1244.35137
Ohta, Yasuhiro; Wang, Deng-Shan; Yang, Jianke
34
2011
Discrete integrable systems and hodograph transformations arising from motions of discrete plane curves. Zbl 1245.35101
Feng, Bao-Feng; Inoguchi, Jun-Ichi; Kajiwara, Kenji; Maruno, Ken-Ichi; Ohta, Yasuhiro
13
2011
Integrable discretizations of the short pulse equation. Zbl 1189.78051
Feng, Bao-Feng; Maruno, Ken-Ichi; Ohta, Yasuhiro
31
2010
A self-adaptive moving mesh method for the Camassa-Holm equation. Zbl 1201.65155
Feng, Bao-Feng; Maruno, Ken-Ichi; Ohta, Yasuhiro
16
2010
Integrable discretizations for the short-wave model of the Camassa-Holm equation. Zbl 1196.37106
Feng, Bao-Feng; Maruno, Ken-Ichi; Ohta, Yasuhiro
5
2010
Dark soliton solution of Sasa-Satsuma equation. Zbl 1214.81083
Ohta, Y.
3
2010
Discretization of coupled nonlinear Schrödinger equations. Zbl 1172.35494
Ohta, Yasuhiro
1
2009
Bilinearization and Casorati determinant solutions to non-autonomous \(1+1\) dimensional discrete soliton equations. Zbl 1225.39011
Kajiwara, Kenji; Ohta, Yasuhiro
1
2009
An integrable semi-discretization of the Camassa-Holm equation and its determinant solution. Zbl 1180.76011
Ohta, Yasuhiro; Maruno, Ken-Ichi; Feng, Bao-Feng
21
2008
Localized solitons of a \((2+1)\)-dimensional nonlocal nonlinear Schrödinger equation. Zbl 1221.81056
Maruno, Ken-Ichi; Ohta, Yasuhiro
9
2008
Quasideterminant solutions of a non-abelian Hirota-Miwa equation. Zbl 1131.37308
Gilson, C. R.; Nimmo, J. J. C.; Ohta, Y.
16
2007
Two-component analogue of two-dimensional long wave-short wave resonance interaction equations: A derivation and solutions. Zbl 1117.35076
Ohta, Yasuhiro; Maruno, Ken-Ichi; Oikawa, Masayuki
10
2007
A remark on the Hankel determinant formula for solutions of the Toda equation. Zbl 1129.37039
Kajiwara, Kenji; Mazzocco, Marta; Ohta, Yasuhiro
5
2007
Discretization of the new type of soliton equations. Zbl 1223.35276
Hirota, Ryogo; Ohta, Yasuhiro
2
2007
Point configurations, Cremona transformations and the elliptic difference Painlevé equation. Zbl 1137.39011
Kajiwara, Kenji; Masuda, Tetsu; Noumi, Masatohsi; Ohta, Yasuhiro; Yamada, Yasuhiko
7
2006
Casorati determinant form of dark soliton solutions of the discrete nonlinear Schrödinger equation. Zbl 1223.35269
Maruno, Ken-ichi; Ohta, Yasuhiro
5
2006
Discrete systems related to the sixth Painlevé equation. Zbl 1108.39016
Ramani, A.; Ohta, Y.; Grammaticos, B.
3
2006
Similarity reductions of Hirota bilinear equations and Painlevé equations. Zbl 1123.37030
Tamizhmani, K. M.; Grammaticos, B.; Ramani, A.; Ohta, Y.; Tamizhmani, T.
1
2006
Cubic pencils and Painlevé Hamiltonians. Zbl 1161.34064
Kajiwara, K.; Masuda, T.; Noumi, M.; Ohta, Y.; Yamada, Y.
7
2005
Construction of hypergeometric solutions to the \(q\)-Painlevé equations. Zbl 1082.33013
Kajiwara, K.; Masuda, T.; Noumi, M.; Ohta, Y.; Yamada, Y.
7
2005
Some aspects of the Toda molecule. Zbl 1076.37067
Nishizawa, M.; Ohta, Y.; Tsujimoto, S.
1
2005
Hypergeometric solutions to the \(q\)-Painlevé equations. Zbl 1076.33015
Kajiwara, K.; Masuda, T.; Noumi, M.; Ohta, Y.; Yamada, Y.
18
2004
Special solutions of discrete integrable systems. Zbl 1065.37049
Ohta, Y.
6
2004
\(_{10}E_9\) solution to the elliptic Painlevé equation. Zbl 1044.39014
Kajiwara, Kenji; Masuda, Tetsu; Noumi, Masatoshi; Ohta, Yasuhiro; Yamada, Yasuhiko
19
2003
A unified description of the asymmetric \(q\text{-P}_{\text{V}}\) and \(d\text{-P}_{\text{IV}}\) equations and their Schlesinger transformations. Zbl 1034.34104
Grammaticos, B.; Ramani, A.; Ohta, Y.
6
2003
The space of initial conditions for linearizable mappings. Zbl 1021.37023
Takenawa, T.; Eguchi, M.; Grammaticos, B.; Ohta, Y.; Ramani, A.; Satsuma, J.
6
2003
Exact localized solutions of quintic discrete nonlinear Schrödinger equation. Zbl 1019.35067
Maruno, Ken-Ichi; Ohta, Yasuhiro; Joshi, Nalini
5
2003
Discretization of toroidal soliton equations. Zbl 1362.35251
Ohta, Yasuhiro
2
2003
On the autonomous limit of discrete Painlevé equations. Zbl 0992.39015
Ramani, A.; Carstea, A. S.; Grammaticos, B.; Ohta, Y.
19
2002
A determinant formula for a class of rational solutions of Painlevé V equation. Zbl 1052.34085
Masuda, Tetsu; Ohta, Yasuhiro; Kajiwara, Kenji
17
2002
A new class of integrable discrete systems. Zbl 1042.37012
Kimura, K.; Yahagi, H.; Hirota, R.; Ramani, A.; Grammaticos, B.; Ohta, Y.
13
2002
Elliptic discrete Painlevé equations. Zbl 1056.39027
Ohta, Y.; Ramani, A.; Grammaticos, B.
6
2002
A bilinear approach to a Pfaffian self-dual Yang-Mills equation. Zbl 0986.35109
Ohta, Y.; Nimmo, J. J. C.; Gilson, C. R.
23
2001
On discrete Painlevé equations associated with the lattice KdV systems and the Painlevé VI equation. Zbl 1152.39313
Nijhoff, F. W.; Ramani, A.; Grammaticos, B.; Ohta, Y.
19
2001
An affine Weyl group approach to the eight-parameter discrete Painlevé equation. Zbl 1002.39029
Ohta, Y.; Ramani, A.; Grammaticos, B.
18
2001
Determinant formulas for the Toda and discrete Toda equations. Zbl 1145.37327
Kajiwara, Kenji; Masuda, Tetsu; Noumi, Masatoshi; Ohta, Yasuhiro; Yamada, Yasuhiko
7
2001
A geometrical description of the discrete Painlevé VI and V equations. Zbl 0980.39010
Ramani, A.; Grammaticos, B.; Ohta, Y.
4
2001
Integrable third-order mappings and their growth properties. Zbl 1011.39017
Lafortune, S.; Carstea, A. S.; Ramani, A.; Grammaticos, B.; Ohta, Y.
3
2001
A differential-difference system related to toroidal Lie algebra. Zbl 1004.37055
Kakei, Saburo; Ohta, Yasuhiro
1
2001
The \(q\)-Painlevé V equation and its geometrical description. Zbl 0980.39009
Ramani, A.; Grammaticos, B.; Ohta, Y.
1
2001
Discrete integrable systems from continuous Painlevé equations through limiting procedures. Zbl 0963.37069
Ramani, A.; Ohta, Y.; Grammaticos, B.
11
2000
Linearizable mappings and the low-growth criterion. Zbl 0962.37020
Ramani, A.; Grammaticos, B.; Lafortune, S.; Ohta, Y.
9
2000
Applications of Darboux transformations to the self-dual Yang-Mills equations. Zbl 0971.53022
Nimmo, J. J. C.; Gilson, C. R.; Ohta, Y.
8
2000
Pfaffian solution for coupled discrete nonlinear Schrödinger equation. Zbl 1115.37350
Ohta, Y.
5
2000
On integrability and chaos in discrete systems. Zbl 1160.37413
Ablowitz, Mark J.; Ohta, Yasuhiro; Trubatch, A. David
5
2000
Determinant and Pfaffian solutions for discrete soliton equations. Zbl 0962.35148
Ohta, Y.
3
2000
On discretizations of the vector nonlinear Schrödinger equation. Zbl 0938.35174
Ablowitz, Mark J.; Ohta, Yasuhiro; Trubatch, A. David
18
1999
Singularity confinement and algebraic entropy: the case of the discrete Painlevé equations. Zbl 0939.37041
Ohta, Y.; Tamizhmani, K. M.; Grammaticos, B.; Ramani, A.
10
1999
Self-dual construction of discrete Painlevé equations. Zbl 0951.39502
Ohta, Yasuhiro
1
1999
Integrability criteria for differential-difference systems: A comparison of singularity confinement and low-growth requirements. Zbl 0946.37038
Tamizhmani, K. M.; Ramani, A.; Grammaticos, B.; Ohta, Y.
1
1999
Determinant structure of the rational solutions for the Painlevé IV equation. Zbl 0919.34008
Kajiwara, Kenji; Ohta, Yasuhiro
24
1998
Degeneration through coalescence of the \(q\)-Painlevé VI equation. Zbl 0932.39017
Grammaticos, B.; Ohta, Y.; Ramani, A.; Sakai, H.
12
1998
Self-duality and Schlesinger chains for the asymmetric \(\text{d-P}_{\text{II}}\) and \(\text{q-P}_{\text{III}}\) equations. Zbl 0911.39007
Ramani, A.; Ohta, Y.; Satsuma, J.; Grammaticos, B.
10
1998
Bilinear form approach to the self-dual Yang-Mills equations and integrable systems in \((2+1)\)-dimension. Zbl 0947.37044
Sasa, Narimasa; Ohta, Yasuhiro; Matsukidaira, Junta
6
1998
The ultimate discretisation of the Painlevé equations. Zbl 0936.39006
Ramani, A.; Takahashi, D.; Grammaticos, B.; Ohta, Y.
4
1998
Rational solutions for the discrete Painlevé II equation. Zbl 1053.39500
Kajiwara, Kenji; Yamamoto, Kazushi; Ohta, Yasuhiro
8
1997
Constructing solutions to the ultradiscrete Painlevé equations. Zbl 0926.39007
Takahashi, D.; Tokihiro, T.; Grammaticos, B.; Ohta, Y.; Ramani, A.
7
1997
Cellular automata and ultra-discrete Painlevé equations. Zbl 0912.34005
Grammaticos, B.; Ohta, Y.; Ramani, A.; Takahashi, D.; Tamizhmani, K. M.
3
1997
Cellular automata and ultra-discrete Painlevé equations. Zbl 0962.82527
Grammaticos, B.; Ohta, Y.; Ramani, A.; Takahashi, D.; Tamizhmani, K. M.
3
1997
Determinant structure of the rational solutions for the Painlevé II equation. Zbl 0865.34010
Kajiwara, Kenji; Ohta, Yasuhiro
21
1996
From discrete to continuous Painlevé equations: a bilinear approach. Zbl 0972.35529
Ohta, Y.; Ramani, A.; Grammaticos, B.; Tamizhmani, K. M.
5
1996
From discrete to continuous Painlevé equations: a bilinear approach. Zbl 0911.34006
Ohta, Y.; Ramani, A.; Grammaticos, B.; Tamizhmani, K. M.
2
1996
A study of the discrete \(P_ V\) equation: Miura transformations and particular solutions. Zbl 0863.39004
Tamizhmani, K. M.; Ramani, A.; Grammaticos, B.; Ohta, Y.
2
1996
Bilinear structure and exact solutions of the discrete Painlevé I equation. Zbl 0859.35120
Ohta, Yasuhiro; Kajiwara, Kenji; Satsuma, Junkichi
2
1996
Quantum Jacobi-Trudi and Giambelli formulae for \(U_ q(B_ r^{(1)})\) from the analytic Bethe ansatz. Zbl 0871.17015
Kuniba, Atsuo; Ohta, Yasuhiro; Suzuki, Junji
18
1995
Casorati determinant solutions for the discrete Painlevé III equation. Zbl 0856.39001
Kajiwara, Kenji; Ohta, Yasuhiro; Satsuma, Junkichi
9
1995
Casorati determinant solutions for the discrete Painlevé-II equation. Zbl 0811.35150
Kajiwara, Kenji; Ohta, Yasuhiro; Satsuma, Junkichi; Grammaticos, Basil; Ramani, Alfred
8
1994
\(q\)-discretization of the two-dimensional Toda equations. Zbl 0850.35116
Kajiwara, K.; Ohta, Ya.; Satsuma, J.
4
1994
Casorati and discrete Gram type determinant representations of solutions to the discrete KP hierarchy. Zbl 0972.37536
Ohta, Yasuhiro; Hirota, Ryogo; Tsujimoto, Satoshi; Imai, Tatsuya
28
1993
Casorati determinant solution for the relativistic Toda lattice equation. Zbl 0785.34016
Ohta, Yasuhiro; Kajiwara, Kenji; Matsukidaira, Junta; Satsuma, Junkichi
10
1993
Analytical method for vibration of angle-ply cylindrical shells having arbitrary edges. Zbl 0825.73322
Narita, Y.; Ohta, Y.; Yamada, G.; Kobayashi, Y.
2
1992
Hierarchies of coupled soliton equations. I. Zbl 1160.37395
Hirota, Ryogo; Ohta, Yasuhiro
52
1991
Stability analysis of nonlinear composite systems including time delays. Zbl 0527.93051
Ohta, Y.; Douseki, T.; Matsumoto, T.
1
1982
all top 5

Cited by 643 Authors

39 Grammaticos, Basil
39 Ramani, Alfred
23 He, Jingsong
23 Ohta, Yasuhiro
20 Feng, Baofeng
16 Kajiwara, Kenji
15 Hu, Xingbiao
14 Willox, Ralph
13 Yu, Guofu
12 Satsuma, Junkichi
12 Tsuda, Teruhisa
11 Joshi, Nalini
10 Clarkson, Peter A.
10 Maruno, Kenichi
10 Rao, Jiguang
10 Tamizhmani, Thamizharasi
9 Mihalache, Dumitru
9 Tian, Bo
8 Cheng, Yi
8 Fan, Engui
8 Tamizhmani, K. M.
7 Chen, Junchao
7 Dai, Zhengde
7 Gao, Yitian
7 Li, Chunxia
7 Sun, Yepeng
7 Zabrodin, Anton V.
7 Zhang, Yingnan
6 Nijhoff, Frank W.
6 Nimmo, Jonathan J. C.
6 Prinari, Barbara
6 Takenawa, Tomoyuki
6 Tsuboi, Zengo
6 Zhang, Yongshuai
6 Zhao, Junxiao
5 Guo, Boling
5 Ling, Liming
5 Ma, Yulan
5 Nakazono, Nobutaka
5 Wang, Lihong
5 Witte, Nicholas S.
5 Yang, Jianke
5 Zhang, Dajun
5 Zhang, Yi
4 Chen, Yong
4 Lafortune, Stéphane
4 Li, Bangqing
4 Malomed, Boris A.
4 Masuda, Tetsu
4 Matsuura, Nozomu
4 Noumi, Masatoshi
4 Pelinovsky, Dmitry Efimovich
4 Porsezian, Kuppusamy
4 Qin, Zhenyun
4 Sahadevan, Ramajayam
4 Shen, Shoufeng
4 Vakhnenko, Oleksiy O.
4 Wang, Chuanjian
4 Wang, Dengshan
4 Wen, Xiaoyong
4 Yamada, Yasuhiko
4 Yan, Zhenya
4 Zhu, Zuonong
3 Ablowitz, Mark Jay
3 Atkinson, James R.
3 Bai, Yuzhen
3 Bekir, Ahmet
3 Bertola, Marco
3 Borodin, Alexei
3 Cârstea, Adrian Ştefan
3 Chang, Xiangke
3 Gegenhasi
3 Geng, Xianguo
3 Gilson, Claire R.
3 Gómez-Ullate, David
3 Guo, Lijuan
3 He, Guoliang
3 Hon, Yiu-Chung
3 Hone, Andrew N. W.
3 Huang, Yehui
3 Inoguchi, Jun-ichi
3 Jiang, Yan
3 Kanna, Thambithurai
3 Kassotakis, Pavlos G.
3 Lou, Senyue
3 Ma, Wen-Xiu
3 Mañas, Manuel
3 Mase, Takafumi
3 Matsuno, Yoshimasa
3 Milson, Robert
3 Mu, Gui
3 Mukhin, Evgeny
3 Müller-Hoissen, Folkert
3 Nagao, Hidehito
3 Qiu, Deqin
3 Sakai, Hidetaka
3 Senthilvelan, Murugaian
3 Sheu, Tony Wen-Hann
3 Shi, Yang
3 Sun, Baonan
...and 543 more Authors
all top 5

Cited in 115 Serials

60 Journal of Mathematical Physics
33 Journal of Nonlinear Mathematical Physics
32 Nonlinear Dynamics
26 Theoretical and Mathematical Physics
19 Letters in Mathematical Physics
19 Physics Letters. A
18 Journal of Physics A: Mathematical and Theoretical
17 Applied Mathematics and Computation
17 Communications in Nonlinear Science and Numerical Simulation
15 Applied Mathematics Letters
13 Journal of Mathematical Analysis and Applications
13 Chaos, Solitons and Fractals
11 Studies in Applied Mathematics
10 Computers & Mathematics with Applications
10 Communications in Mathematical Physics
10 Physica D
9 Advances in Mathematics
8 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
7 Nonlinearity
7 Journal of Computational and Applied Mathematics
7 Journal of Difference Equations and Applications
7 Chaos
7 Journal of High Energy Physics
6 Nuclear Physics. B
6 Nagoya Mathematical Journal
6 Advances in Difference Equations
5 Mathematical Methods in the Applied Sciences
5 Journal of Geometry and Physics
5 Mathematics and Computers in Simulation
5 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
4 Wave Motion
4 Proceedings of the American Mathematical Society
4 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
3 Applicable Analysis
3 Journal of Computational Physics
3 Duke Mathematical Journal
3 Journal of Differential Equations
3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
3 Journal of Nonlinear Science
3 Abstract and Applied Analysis
3 Nonlinear Analysis. Real World Applications
3 Communications in Theoretical Physics
3 Advances in Mathematical Physics
3 Journal of Computational Dynamics
2 Modern Physics Letters B
2 Bulletin of the Australian Mathematical Society
2 Physica A
2 Reports on Mathematical Physics
2 ZAMP. Zeitschrift für angewandte Mathematik und Physik
2 Advances in Applied Mathematics
2 Applied Numerical Mathematics
2 Constructive Approximation
2 Japan Journal of Industrial and Applied Mathematics
2 Numerical Algorithms
2 Computational Mathematics and Mathematical Physics
2 International Journal of Computer Mathematics
2 Linear Algebra and its Applications
2 Selecta Mathematica. New Series
2 The Ramanujan Journal
2 Mathematical Physics, Analysis and Geometry
2 Regular and Chaotic Dynamics
2 Annales Henri Poincaré
2 Journal of Applied Mathematics and Computing
2 Analysis and Applications (Singapore)
2 Science China. Mathematics
2 Journal of Applied Analysis and Computation
2 JSIAM Letters
2 Journal of Mathematics
2 Pacific Journal of Mathematics for Industry
1 Modern Physics Letters A
1 Archive for Rational Mechanics and Analysis
1 Communications on Pure and Applied Mathematics
1 Indian Journal of Pure & Applied Mathematics
1 International Journal of Theoretical Physics
1 Mathematical Notes
1 Compositio Mathematica
1 Journal of the London Mathematical Society. Second Series
1 Journal of the Mathematical Society of Japan
1 Mathematische Annalen
1 Tohoku Mathematical Journal. Second Series
1 Tokyo Journal of Mathematics
1 Transactions of the American Mathematical Society
1 Ergodic Theory and Dynamical Systems
1 Applied Mathematics and Mechanics. (English Edition)
1 Acta Applicandae Mathematicae
1 Acta Mathematicae Applicatae Sinica. English Series
1 Numerical Methods for Partial Differential Equations
1 Journal of Scientific Computing
1 International Journal of Mathematics
1 European Journal of Applied Mathematics
1 SIAM Journal on Mathematical Analysis
1 SIAM Review
1 Indagationes Mathematicae. New Series
1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
1 Journal of Algebraic Combinatorics
1 Advances in Differential Equations
1 Complexity
1 Arab Journal of Mathematical Sciences
1 Mathematical Problems in Engineering
1 Annals of Mathematics. Second Series
...and 15 more Serials
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Cited in 42 Fields

294 Partial differential equations (35-XX)
294 Dynamical systems and ergodic theory (37-XX)
113 Difference and functional equations (39-XX)
96 Ordinary differential equations (34-XX)
63 Special functions (33-XX)
48 Quantum theory (81-XX)
33 Fluid mechanics (76-XX)
31 Numerical analysis (65-XX)
29 Optics, electromagnetic theory (78-XX)
27 Algebraic geometry (14-XX)
26 Statistical mechanics, structure of matter (82-XX)
20 Nonassociative rings and algebras (17-XX)
11 Linear and multilinear algebra; matrix theory (15-XX)
11 Harmonic analysis on Euclidean spaces (42-XX)
9 Combinatorics (05-XX)
8 Functions of a complex variable (30-XX)
8 Mechanics of particles and systems (70-XX)
7 Associative rings and algebras (16-XX)
7 Approximations and expansions (41-XX)
7 Probability theory and stochastic processes (60-XX)
6 Global analysis, analysis on manifolds (58-XX)
4 Number theory (11-XX)
4 Group theory and generalizations (20-XX)
4 Real functions (26-XX)
4 Mechanics of deformable solids (74-XX)
3 General and overarching topics; collections (00-XX)
3 Commutative algebra (13-XX)
3 Operator theory (47-XX)
3 Differential geometry (53-XX)
3 Computer science (68-XX)
3 Information and communication theory, circuits (94-XX)
2 Functional analysis (46-XX)
2 Geometry (51-XX)
2 Relativity and gravitational theory (83-XX)
2 Geophysics (86-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Topological groups, Lie groups (22-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Integral equations (45-XX)
1 Calculus of variations and optimal control; optimization (49-XX)
1 General topology (54-XX)
1 Statistics (62-XX)

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