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Author ID: ohta.yasuhiro Recent zbMATH articles by "Ohta, Yasuhiro"
Published as: Ohta, Yasuhiro; Ohta, Y.; Ohta, Ya.

Publications by Year

Citations contained in zbMATH Open

97 Publications have been cited 1,098 times in 665 Documents Cited by Year
General high-order rogue waves and their dynamics in the nonlinear Schrödinger equation. Zbl 1364.76033
Ohta, Yasuhiro; Yang, Jianke
116
2012
Hierarchies of coupled soliton equations. I. Zbl 1160.37395
Hirota, Ryogo; Ohta, Yasuhiro
61
1991
Dynamics of rogue waves in the Davey-Stewartson II equation. Zbl 1311.35298
Ohta, Yasuhiro; Yang, Jianke
55
2013
General \(N\)-dark-dark solitons in the coupled nonlinear Schrödinger equations. Zbl 1244.35137
Ohta, Yasuhiro; Wang, Deng-Shan; Yang, Jianke
48
2011
Integrable discretizations of the short pulse equation. Zbl 1189.78051
Feng, Bao-Feng; Maruno, Ken-Ichi; Ohta, Yasuhiro
39
2010
General rogue waves in the focusing and defocusing Ablowitz-Ladik equations. Zbl 1294.35121
Ohta, Yasuhiro; Yang, Jianke
33
2014
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 II equation. Zbl 0865.34010
Kajiwara, Kenji; Ohta, Yasuhiro
27
1996
Determinant structure of the rational solutions for the Painlevé IV equation. Zbl 0919.34008
Kajiwara, Kenji; Ohta, Yasuhiro
26
1998
A bilinear approach to a Pfaffian self-dual Yang-Mills equation. Zbl 0986.35109
Ohta, Y.; Nimmo, J. J. C.; Gilson, C. R.
24
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
23
2008
On discretizations of the vector nonlinear Schrödinger equation. Zbl 0938.35174
Ablowitz, Mark J.; Ohta, Yasuhiro; Trubatch, A. David
21
1999
An affine Weyl group approach to the eight-parameter discrete Painlevé equation. Zbl 1002.39029
Ohta, Y.; Ramani, A.; Grammaticos, B.
21
2001
\(_{10}E_9\) solution to the elliptic Painlevé equation. Zbl 1044.39014
Kajiwara, Kenji; Masuda, Tetsu; Noumi, Masatoshi; Ohta, Yasuhiro; Yamada, Yasuhiko
21
2003
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
20
1995
Hypergeometric solutions to the \(q\)-Painlevé equations. Zbl 1076.33015
Kajiwara, K.; Masuda, T.; Noumi, M.; Ohta, Y.; Yamada, Y.
19
2004
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
Quasideterminant solutions of a non-abelian Hirota-Miwa equation. Zbl 1131.37308
Gilson, C. R.; Nimmo, J. J. C.; Ohta, Y.
18
2007
A self-adaptive moving mesh method for the Camassa-Holm equation. Zbl 1201.65155
Feng, Bao-Feng; Maruno, Ken-Ichi; Ohta, Yasuhiro
18
2010
A determinant formula for a class of rational solutions of Painlevé V equation. Zbl 1052.34085
Masuda, Tetsu; Ohta, Yasuhiro; Kajiwara, Kenji
17
2002
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
14
2011
A new class of integrable discrete systems. Zbl 1042.37012
Kimura, K.; Yahagi, H.; Hirota, R.; Ramani, A.; Grammaticos, B.; Ohta, Y.
14
2002
Applications of Darboux transformations to the self-dual Yang-Mills equations. Zbl 0971.53022
Nimmo, J. J. C.; Gilson, C. R.; Ohta, Y.
13
2000
Degeneration through coalescence of the \(q\)-Painlevé VI equation. Zbl 0932.39017
Grammaticos, B.; Ohta, Y.; Ramani, A.; Sakai, H.
13
1998
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
13
2016
Singularity confinement and algebraic entropy: the case of the discrete Painlevé equations. Zbl 0939.37041
Ohta, Y.; Tamizhmani, K. M.; Grammaticos, B.; Ramani, A.
12
1999
Casorati determinant solution for the relativistic Toda lattice equation. Zbl 0785.34016
Ohta, Yasuhiro; Kajiwara, Kenji; Matsukidaira, Junta; Satsuma, Junkichi
12
1993
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
11
2007
Discrete integrable systems from continuous Painlevé equations through limiting procedures. Zbl 0963.37069
Ramani, A.; Ohta, Y.; Grammaticos, B.
11
2000
Cubic pencils and Painlevé Hamiltonians. Zbl 1161.34064
Kajiwara, K.; Masuda, T.; Noumi, M.; Ohta, Y.; Yamada, Y.
10
2005
Integrable semi-discretizations of the reduced Ostrovsky equation. Zbl 1312.37039
Feng, Bao-Feng; Maruno, Ken-ichi; Ohta, Yasuhiro
10
2015
Localized solitons of a \((2+1)\)-dimensional nonlocal nonlinear Schrödinger equation. Zbl 1221.81056
Maruno, Ken-Ichi; Ohta, Yasuhiro
10
2008
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
Linearizable mappings and the low-growth criterion. Zbl 0962.37020
Ramani, A.; Grammaticos, B.; Lafortune, S.; Ohta, Y.
9
2000
Point configurations, Cremona transformations and the elliptic difference Painlevé equation. Zbl 1137.39011
Kajiwara, Kenji; Masuda, Tetsu; Noumi, Masatohsi; Ohta, Yasuhiro; Yamada, Yasuhiko
9
2006
Casorati determinant solutions for the discrete Painlevé III equation. Zbl 0856.39001
Kajiwara, Kenji; Ohta, Yasuhiro; Satsuma, Junkichi
9
1995
Rational solutions for the discrete Painlevé II equation. Zbl 1053.39500
Kajiwara, Kenji; Yamamoto, Kazushi; Ohta, Yasuhiro
8
1997
Integrable semi-discretization of a multi-component short pulse equation. Zbl 1315.35201
Feng, Bao-Feng; Maruno, Ken-ichi; Ohta, Yasuhiro
8
2015
Casorati determinant solutions for the discrete Painlevé-II equation. Zbl 0811.35150
Kajiwara, Kenji; Ohta, Yasuhiro; Satsuma, Junkichi; Grammaticos, Basil; Ramani, Alfred
8
1994
Construction of hypergeometric solutions to the \(q\)-Painlevé equations. Zbl 1082.33013
Kajiwara, K.; Masuda, T.; Noumi, M.; Ohta, Y.; Yamada, Y.
8
2005
Constructing solutions to the ultradiscrete Painlevé equations. Zbl 0926.39007
Takahashi, D.; Tokihiro, T.; Grammaticos, B.; Ohta, Y.; Ramani, A.
7
1997
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
7
1998
Motion and Bäcklund transformations of discrete plane curves. Zbl 1269.53008
Inoguchi, Jun-Ichi; Kajiwara, Kenji; Matsuura, Nozomu; Ohta, Yasuhiro
7
2012
Determinant formulas for the Toda and discrete Toda equations. Zbl 1145.37327
Kajiwara, Kenji; Masuda, Tetsu; Noumi, Masatoshi; Ohta, Yasuhiro; Yamada, Yasuhiko
7
2001
Special solutions of discrete integrable systems. Zbl 1065.37049
Ohta, Y.
7
2004
The space of initial conditions for linearizable mappings. Zbl 1021.37023
Takenawa, T.; Eguchi, M.; Grammaticos, B.; Ohta, Y.; Ramani, A.; Satsuma, J.
7
2003
On the {\(\tau\)}-functions of the Degasperis-Procesi equation. Zbl 1264.35187
Feng, Bao-Feng; Maruno, Ken-Ichi; Ohta, Yasuhiro
7
2013
Casorati determinant form of dark soliton solutions of the discrete nonlinear Schrödinger equation. Zbl 1223.35269
Maruno, Ken-ichi; Ohta, Yasuhiro
6
2006
The derivative yajima-oikawa system: bright, dark soliton and breather solutions. Zbl 1401.35264
Chen, Junchao; Feng, Bao-Feng; Maruno, Ken-ichi; Ohta, Yasuhiro
6
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
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
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
6
2012
Integrable discretizations for the short-wave model of the Camassa-Holm equation. Zbl 1196.37106
Feng, Bao-Feng; Maruno, Ken-Ichi; Ohta, Yasuhiro
6
2010
On integrability and chaos in discrete systems. Zbl 1160.37413
Ablowitz, Mark J.; Ohta, Yasuhiro; Trubatch, A. David
6
2000
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
Elliptic discrete Painlevé equations. Zbl 1056.39027
Ohta, Y.; Ramani, A.; Grammaticos, B.
6
2002
A modified complex short pulse equation of defocusing type. Zbl 1420.35326
Shen, Shoufeng; Feng, Bao-Feng; Ohta, Yasuhiro
5
2017
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
Exact localized solutions of quintic discrete nonlinear Schrödinger equation. Zbl 1019.35067
Maruno, Ken-Ichi; Ohta, Yasuhiro; Joshi, Nalini
5
2003
Pfaffian solution for coupled discrete nonlinear Schrödinger equation. Zbl 1115.37350
Ohta, Y.
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
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
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
5
2012
Dark soliton solution of Sasa-Satsuma equation. Zbl 1214.81083
Ohta, Y.
5
2010
The ultimate discretisation of the Painlevé equations. Zbl 0936.39006
Ramani, A.; Takahashi, D.; Grammaticos, B.; Ohta, Y.
4
1998
From discrete to continuous Painlevé equations: a bilinear approach. Zbl 0972.35529
Ohta, Y.; Ramani, A.; Grammaticos, B.; Tamizhmani, K. M.
4
1996
A geometrical description of the discrete Painlevé VI and V equations. Zbl 0980.39010
Ramani, A.; Grammaticos, B.; Ohta, Y.
4
2001
Discrete mKdV and discrete sine-Gordon flows on discrete space curves. Zbl 1299.35264
Inoguchi, Jun-Ichi; Kajiwara, Kenji; Matsuura, Nozomu; Ohta, Yasuhiro
4
2014
\(q\)-discretization of the two-dimensional Toda equations. Zbl 0850.35116
Kajiwara, K.; Ohta, Ya.; Satsuma, J.
4
1994
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
An integrable semi-discrete Degasperis-Procesi equation. Zbl 1369.35078
Feng, Bao-Feng; Maruno, Ken-Ichi; Ohta, Yasuhiro
3
2017
Integrable discretizations of the Dym equation. Zbl 1303.37022
Feng, Bao-Feng; Inoguchi, Jun-Ichi; Kajiwara, Kenji; Maruno, Ken-Ichi; Ohta, Yasuhiro
3
2013
Integrable third-order mappings and their growth properties. Zbl 1011.39017
Lafortune, S.; Carstea, A. S.; Ramani, A.; Grammaticos, B.; Ohta, Y.
3
2001
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
3
2017
Discrete systems related to the sixth Painlevé equation. Zbl 1108.39016
Ramani, A.; Ohta, Y.; Grammaticos, B.
3
2006
Cellular automata and ultra-discrete Painlevé equations. Zbl 0912.34005
Grammaticos, B.; Ohta, Y.; Ramani, A.; Takahashi, D.; Tamizhmani, K. M.
3
1997
From discrete to continuous Painlevé equations: a bilinear approach. Zbl 0911.34006
Ohta, Y.; Ramani, A.; Grammaticos, B.; Tamizhmani, K. M.
3
1996
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
Discretization of toroidal soliton equations. Zbl 1362.35251
Ohta, Yasuhiro
2
2003
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
Discretization of the new type of soliton equations. Zbl 1223.35276
Hirota, Ryogo; Ohta, Yasuhiro
2
2007
Bilinear structure and exact solutions of the discrete Painlevé I equation. Zbl 0859.35120
Ohta, Yasuhiro; Kajiwara, Kenji; Satsuma, Junkichi
2
1996
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
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
Self-dual construction of discrete Painlevé equations. Zbl 0951.39502
Ohta, Yasuhiro
1
1999
The \(q\)-Painlevé V equation and its geometrical description. Zbl 0980.39009
Ramani, A.; Grammaticos, B.; Ohta, Y.
1
2001
\(N\)-bright-dark soliton solution to a semi-discrete vector nonlinear Schrödinger equation. Zbl 1387.39003
Feng, Bao-Feng; Ohta, Yasuhiro
1
2017
The Degasperis-Procesi equation, its short wave model and the CKP hierarchy. Zbl 1382.35067
Feng, Bao-Feng; Maruno, Ken-Ichi; Ohta, Yasuhiro
1
2017
Discretization of coupled nonlinear Schrödinger equations. Zbl 1172.35494
Ohta, Yasuhiro
1
2009
A differential-difference system related to toroidal Lie algebra. Zbl 1004.37055
Kakei, Saburo; Ohta, Yasuhiro
1
2001
Stability analysis of nonlinear composite systems including time delays. Zbl 0527.93051
Ohta, Y.; Douseki, T.; Matsumoto, T.
1
1982
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
Bilinearization and Casorati determinant solutions to non-autonomous \(1+1\) dimensional discrete soliton equations. Zbl 1225.39011
Kajiwara, Kenji; Ohta, Yasuhiro
1
2009
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
The derivative yajima-oikawa system: bright, dark soliton and breather solutions. Zbl 1401.35264
Chen, Junchao; Feng, Bao-Feng; Maruno, Ken-ichi; Ohta, Yasuhiro
6
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
A modified complex short pulse equation of defocusing type. Zbl 1420.35326
Shen, Shoufeng; Feng, Bao-Feng; Ohta, Yasuhiro
5
2017
An integrable semi-discrete Degasperis-Procesi equation. Zbl 1369.35078
Feng, Bao-Feng; Maruno, Ken-Ichi; Ohta, Yasuhiro
3
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
3
2017
\(N\)-bright-dark soliton solution to a semi-discrete vector nonlinear Schrödinger equation. Zbl 1387.39003
Feng, Bao-Feng; Ohta, Yasuhiro
1
2017
The Degasperis-Procesi equation, its short wave model and the CKP hierarchy. Zbl 1382.35067
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
13
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
10
2015
Integrable semi-discretization of a multi-component short pulse equation. Zbl 1315.35201
Feng, Bao-Feng; Maruno, Ken-ichi; Ohta, Yasuhiro
8
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
33
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
4
2014
Dynamics of rogue waves in the Davey-Stewartson II equation. Zbl 1311.35298
Ohta, Yasuhiro; Yang, Jianke
55
2013
On the {\(\tau\)}-functions of the Degasperis-Procesi equation. Zbl 1264.35187
Feng, Bao-Feng; Maruno, Ken-Ichi; Ohta, Yasuhiro
7
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
116
2012
Motion and Bäcklund transformations of discrete plane curves. Zbl 1269.53008
Inoguchi, Jun-Ichi; Kajiwara, Kenji; Matsuura, Nozomu; Ohta, Yasuhiro
7
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
6
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
5
2012
General \(N\)-dark-dark solitons in the coupled nonlinear Schrödinger equations. Zbl 1244.35137
Ohta, Yasuhiro; Wang, Deng-Shan; Yang, Jianke
48
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
14
2011
Integrable discretizations of the short pulse equation. Zbl 1189.78051
Feng, Bao-Feng; Maruno, Ken-Ichi; Ohta, Yasuhiro
39
2010
A self-adaptive moving mesh method for the Camassa-Holm equation. Zbl 1201.65155
Feng, Bao-Feng; Maruno, Ken-Ichi; Ohta, Yasuhiro
18
2010
Integrable discretizations for the short-wave model of the Camassa-Holm equation. Zbl 1196.37106
Feng, Bao-Feng; Maruno, Ken-Ichi; Ohta, Yasuhiro
6
2010
Dark soliton solution of Sasa-Satsuma equation. Zbl 1214.81083
Ohta, Y.
5
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
23
2008
Localized solitons of a \((2+1)\)-dimensional nonlocal nonlinear Schrödinger equation. Zbl 1221.81056
Maruno, Ken-Ichi; Ohta, Yasuhiro
10
2008
Quasideterminant solutions of a non-abelian Hirota-Miwa equation. Zbl 1131.37308
Gilson, C. R.; Nimmo, J. J. C.; Ohta, Y.
18
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
11
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
9
2006
Casorati determinant form of dark soliton solutions of the discrete nonlinear Schrödinger equation. Zbl 1223.35269
Maruno, Ken-ichi; Ohta, Yasuhiro
6
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.
10
2005
Construction of hypergeometric solutions to the \(q\)-Painlevé equations. Zbl 1082.33013
Kajiwara, K.; Masuda, T.; Noumi, M.; Ohta, Y.; Yamada, Y.
8
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.
19
2004
Special solutions of discrete integrable systems. Zbl 1065.37049
Ohta, Y.
7
2004
\(_{10}E_9\) solution to the elliptic Painlevé equation. Zbl 1044.39014
Kajiwara, Kenji; Masuda, Tetsu; Noumi, Masatoshi; Ohta, Yasuhiro; Yamada, Yasuhiko
21
2003
The space of initial conditions for linearizable mappings. Zbl 1021.37023
Takenawa, T.; Eguchi, M.; Grammaticos, B.; Ohta, Y.; Ramani, A.; Satsuma, J.
7
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
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.
14
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.
24
2001
An affine Weyl group approach to the eight-parameter discrete Painlevé equation. Zbl 1002.39029
Ohta, Y.; Ramani, A.; Grammaticos, B.
21
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
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
The \(q\)-Painlevé V equation and its geometrical description. Zbl 0980.39009
Ramani, A.; Grammaticos, B.; Ohta, Y.
1
2001
A differential-difference system related to toroidal Lie algebra. Zbl 1004.37055
Kakei, Saburo; Ohta, Yasuhiro
1
2001
Applications of Darboux transformations to the self-dual Yang-Mills equations. Zbl 0971.53022
Nimmo, J. J. C.; Gilson, C. R.; Ohta, Y.
13
2000
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
On integrability and chaos in discrete systems. Zbl 1160.37413
Ablowitz, Mark J.; Ohta, Yasuhiro; Trubatch, A. David
6
2000
Pfaffian solution for coupled discrete nonlinear Schrödinger equation. Zbl 1115.37350
Ohta, Y.
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
21
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.
12
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
Self-dual construction of discrete Painlevé equations. Zbl 0951.39502
Ohta, Yasuhiro
1
1999
Determinant structure of the rational solutions for the Painlevé IV equation. Zbl 0919.34008
Kajiwara, Kenji; Ohta, Yasuhiro
26
1998
Degeneration through coalescence of the \(q\)-Painlevé VI equation. Zbl 0932.39017
Grammaticos, B.; Ohta, Y.; Ramani, A.; Sakai, H.
13
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
7
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 0962.82527
Grammaticos, B.; Ohta, Y.; Ramani, A.; Takahashi, D.; Tamizhmani, K. M.
3
1997
Cellular automata and ultra-discrete Painlevé equations. Zbl 0912.34005
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
27
1996
From discrete to continuous Painlevé equations: a bilinear approach. Zbl 0972.35529
Ohta, Y.; Ramani, A.; Grammaticos, B.; Tamizhmani, K. M.
4
1996
From discrete to continuous Painlevé equations: a bilinear approach. Zbl 0911.34006
Ohta, Y.; Ramani, A.; Grammaticos, B.; Tamizhmani, K. M.
3
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
20
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
12
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
61
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 771 Authors

39 Grammaticos, Basil
39 Ramani, Alfred
33 He, Jingsong
25 Feng, Baofeng
24 Ohta, Yasuhiro
18 Rao, Jiguang
16 Kajiwara, Kenji
16 Mihalache, Dumitru
15 Hu, Xingbiao
15 Yu, Guofu
14 Willox, Ralph
13 Cheng, Yi
12 Satsuma, Junkichi
12 Tian, Bo
12 Tsuda, Teruhisa
11 Gao, Yitian
11 Joshi, Nalini
10 Clarkson, Peter A.
10 Maruno, Kenichi
10 Tamizhmani, Thamizharasi
9 Yang, Jianke
8 Chen, Yong
8 Fan, Engui
8 Ling, Liming
8 Tamizhmani, K. M.
8 Zhang, Yingnan
7 Chen, Junchao
7 Dai, Zhengde
7 Li, Chunxia
7 Sun, Yepeng
7 Tsuboi, Zengo
7 Wen, Xiaoyong
7 Zabrodin, Anton V.
7 Zhang, Yi
7 Zhu, Zuonong
6 Ma, Yulan
6 Nijhoff, Frank W.
6 Nimmo, Jonathan J. C.
6 Prinari, Barbara
6 Takenawa, Tomoyuki
6 Vakhnenko, Oleksiy O.
6 Wang, Xiubin
6 Wazwaz, Abdul-Majid Abdul-Rahman
6 Yamada, Yasuhiko
6 Yan, Zhenya
6 Zhang, Yongshuai
6 Zhao, Junxiao
5 Guo, Boling
5 Li, Bangqing
5 Nakazono, Nobutaka
5 Pelinovsky, Dmitry Efimovich
5 Wang, Lihong
5 Witte, Nicholas S.
5 Zhang, Dajun
5 Zhao, Haiqiong
4 Chang, Xiangke
4 Ding, Cui-Cui
4 Geng, Xianguo
4 Guo, Lijuan
4 Han, Bo
4 Kanna, Thambithurai
4 Lafortune, Stéphane
4 Ma, Wen-Xiu
4 Malomed, Boris A.
4 Masuda, Tetsu
4 Matsuura, Nozomu
4 Nagao, Hidehito
4 Noumi, Masatoshi
4 Porsezian, Kuppusamy
4 Qin, Zhenyun
4 Sahadevan, Ramajayam
4 Shen, Shoufeng
4 Wang, Chuanjian
4 Wang, Dengshan
4 Yilmaz, Halis
3 Ablowitz, Mark Jay
3 Amjad, Zeeshan
3 Atkinson, James R.
3 Bai, Yuzhen
3 Bekir, Ahmet
3 Bertola, Marco
3 Borodin, Alexei
3 Cârstea, Adrian Ştefan
3 Chen, Jinbing
3 Deng, Gao-Fu
3 Doliwa, Adam
3 Feng, Yujie
3 Gegenhasi
3 Gilson, Claire R.
3 Gómez-Ullate, David
3 Haider, Bushra
3 Hamanaka, Masashi
3 He, Guoliang
3 Hon, Yiu-Chung
3 Hone, Andrew N. W.
3 Huang, Yehui
3 Inoguchi, Jun-ichi
3 Jiang, Yan
3 Kassotakis, Pavlos G.
3 Kumar, Vikas
...and 671 more Authors
all top 5

Cited in 127 Serials

61 Journal of Mathematical Physics
34 Nonlinear Dynamics
33 Journal of Nonlinear Mathematical Physics
28 Physics Letters. A
27 Theoretical and Mathematical Physics
26 Physica D
22 Letters in Mathematical Physics
22 Communications in Nonlinear Science and Numerical Simulation
21 Applied Mathematics Letters
20 Journal of Physics A: Mathematical and Theoretical
17 Chaos, Solitons and Fractals
17 Applied Mathematics and Computation
13 Journal of Mathematical Analysis and Applications
11 Communications in Mathematical Physics
11 Wave Motion
11 Studies in Applied Mathematics
10 Computers & Mathematics with Applications
9 Advances in Mathematics
9 Journal of High Energy Physics
9 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
8 Nonlinearity
8 Mathematics and Computers in Simulation
7 Nuclear Physics. B
7 Journal of Geometry and Physics
7 Journal of Computational and Applied Mathematics
7 Journal of Difference Equations and Applications
7 Chaos
7 Advances in Difference Equations
7 Waves in Random and Complex Media
7 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
6 Nagoya Mathematical Journal
6 Advances in Mathematical Physics
5 Mathematical Methods in the Applied Sciences
5 International Journal of Computer Mathematics
5 Journal of Nonlinear Science
5 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
4 Journal of Differential Equations
4 Proceedings of the American Mathematical Society
4 Mathematical Physics, Analysis and Geometry
4 Communications in Theoretical Physics
3 Applicable Analysis
3 Journal of Computational Physics
3 Reports on Mathematical Physics
3 ZAMP. Zeitschrift für angewandte Mathematik und Physik
3 Duke Mathematical Journal
3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
3 Constructive Approximation
3 Abstract and Applied Analysis
3 Nonlinear Analysis. Real World Applications
3 Journal of Computational Dynamics
3 AIMS Mathematics
2 Modern Physics Letters B
2 Bulletin of the Australian Mathematical Society
2 Physica A
2 Advances in Applied Mathematics
2 Acta Applicandae Mathematicae
2 Applied Numerical Mathematics
2 Japan Journal of Industrial and Applied Mathematics
2 Numerical Algorithms
2 Computational Mathematics and Mathematical Physics
2 Linear Algebra and its Applications
2 Selecta Mathematica. New Series
2 The Ramanujan Journal
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 Mathematische Zeitschrift
1 Tôhoku 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 Advances in Mathematics
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 Applied Mathematical Modelling
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
...and 27 more Serials
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Cited in 43 Fields

363 Partial differential equations (35-XX)
337 Dynamical systems and ergodic theory (37-XX)
126 Difference and functional equations (39-XX)
106 Ordinary differential equations (34-XX)
69 Special functions (33-XX)
63 Quantum theory (81-XX)
42 Fluid mechanics (76-XX)
38 Optics, electromagnetic theory (78-XX)
37 Statistical mechanics, structure of matter (82-XX)
33 Numerical analysis (65-XX)
29 Algebraic geometry (14-XX)
21 Nonassociative rings and algebras (17-XX)
12 Linear and multilinear algebra; matrix theory (15-XX)
11 Harmonic analysis on Euclidean spaces (42-XX)
11 Mechanics of particles and systems (70-XX)
10 Combinatorics (05-XX)
10 Mechanics of deformable solids (74-XX)
9 Functions of a complex variable (30-XX)
9 Approximations and expansions (41-XX)
8 Associative rings and algebras (16-XX)
7 Global analysis, analysis on manifolds (58-XX)
7 Probability theory and stochastic processes (60-XX)
6 Computer science (68-XX)
5 Group theory and generalizations (20-XX)
4 Number theory (11-XX)
4 Commutative algebra (13-XX)
4 Real functions (26-XX)
4 Differential geometry (53-XX)
4 Geophysics (86-XX)
3 General and overarching topics; collections (00-XX)
3 Operator theory (47-XX)
3 Relativity and gravitational theory (83-XX)
2 Several complex variables and analytic spaces (32-XX)
2 Functional analysis (46-XX)
2 Geometry (51-XX)
2 Information and communication theory, circuits (94-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Topological groups, Lie groups (22-XX)
1 Integral equations (45-XX)
1 Calculus of variations and optimal control; optimization (49-XX)
1 General topology (54-XX)
1 Manifolds and cell complexes (57-XX)
1 Statistics (62-XX)

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