Compute Distance To:
 Documents Indexed: 213 Publications since 1973 Biographic References: 1 Publication Co-Authors: 72 Co-Authors with 201 Joint Publications 1,207 Co-Co-Authors
all top 5

### Co-Authors

 11 single-authored 29 Ujino, Hideaki 14 Akutsu, Yasuhiro 13 Hikami, Kazuhiro 12 Nishino, Akinori 12 Tsuchida, Takayuki 11 Deguchi, Tetsuo 10 Kato, Go 10 Nakayama, Kazuaki 8 Akuzawa, Toshinao 8 Fujii, Yasuhiro 8 Hisakado, Masato 8 Shiroishi, Masahiro 8 Tsurumi, Takeya 6 Kajinaga, Yasumasa 6 Nagao, Taro 5 Iida, Toshiaki 5 Komori, Yasushi 5 Konno, Kimiaki 5 Sasamoto, Tomohiro 5 Segur, Harvey 5 Wang, Ning 4 Fan, Heng 4 Ichikawa, Yoshi-Hiko 4 Iizuka, Takeshi 4 Omote, Minoru 4 Sogo, Kiyoshi 4 Umeno, Yukiko 3 Kodama, Yuji 3 Morise, Hirofumi 3 Murakami, Shuichi 3 Uchiyama, Masaru 2 Ieda, Jun’ichi 2 Kumar, V. Ramesh 2 Nakao, Takenobu 2 Radha, Ramaswamy 2 Sanuki, Heiji 2 Sawada, Katuro 2 Shimizu, Toru 2 Toda, Morikazu 2 Uchinami, Mamoru 2 Yajima, Tetsu 1 Ablowitz, Mark Jay 1 Basu-Mallick, Bireswar 1 Bullough, Robin K. 1 El-Taibany, W. F. 1 Ge, Xiangyu 1 Göhmann, Frank 1 Hasegawa, Toshio 1 Henderson, Diane M. 1 Hirota, Ryogo 1 Hoppe, Jens 1 Inoue, Rei 1 Kamijo, Takashi 1 Kanna, Thambithurai 1 Kato, Hisataka 1 Kulish, Petr Petrovich 1 Kumar, C. Senthil 1 Lakshmanan, Muthusamy 1 Miyakawa, Takahiko 1 Mizuta, Hideyuki 1 Mori, Shintaro 1 Moslem, Waleed M. 1 Nakamura, Atsushi 1 Sakkaravarthi, K. 1 Shigechi, Keiichi 1 Shukla, Padma Kant 1 Smolka, Linda B. 1 Suzuki, Junji 1 Tsuru, Hideo 1 Uesugi, Nobutaka 1 Yan, Gou-Guang 1 Yue, Ruihong
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### Serials

 107 Journal of the Physical Society of Japan 18 Chaos, Solitons and Fractals 12 Journal of Physics A: Mathematical and General 12 Progress of Theoretical Physics 11 Physics Letters. A 9 Journal of Mathematical Physics 5 Physica D 4 Nuclear Physics. B 2 International Journal of Modern Physics B 2 Studies in Applied Mathematics 2 Physical Review Letters 1 Modern Physics Letters A 1 Communications in Mathematical Physics 1 Inverse Problems 1 Journal of Statistical Physics 1 Physica A 1 Rocky Mountain Journal of Mathematics 1 Mathematics and Computers in Simulation 1 Sūgaku 1 Physics of Fluids 1 Methods and Applications of Analysis 1 Journal of Nonlinear Mathematical Physics 1 Nonlinear Analysis. Real World Applications 1 Journal of Statistical Mechanics: Theory and Experiment 1 Quantum Information & Computation
all top 5

### Fields

 94 Statistical mechanics, structure of matter (82-XX) 86 Quantum theory (81-XX) 72 Partial differential equations (35-XX) 58 Dynamical systems and ergodic theory (37-XX) 18 Special functions (33-XX) 16 Manifolds and cell complexes (57-XX) 15 Differential geometry (53-XX) 10 Difference and functional equations (39-XX) 10 Fluid mechanics (76-XX) 7 Probability theory and stochastic processes (60-XX) 6 Nonassociative rings and algebras (17-XX) 6 Ordinary differential equations (34-XX) 6 Global analysis, analysis on manifolds (58-XX) 5 Mechanics of deformable solids (74-XX) 4 Relativity and gravitational theory (83-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Operator theory (47-XX) 3 Optics, electromagnetic theory (78-XX) 3 Biology and other natural sciences (92-XX) 2 Combinatorics (05-XX) 2 Group theory and generalizations (20-XX) 2 Mechanics of particles and systems (70-XX) 1 Functions of a complex variable (30-XX)

### Citations contained in zbMATH Open

159 Publications have been cited 1,764 times in 1,317 Documents Cited by Year
Relationships among inverse method, Bäcklund transformation and an infinite number of conservation laws. Zbl 1079.35506
Wadati, Miki; Sanuki, Heiji; Konno, Kimiaki
1975
The modified Korteweg-de Vries equation. Zbl 1334.35299
1973
Wave propagation in nonlinear lattice. I. Zbl 1334.82022
1975
New integrable nonlinear evolution equations. Zbl 1334.35256
Wadati, Miki; Konno, Kimiaki; Ichikawa, Yoshi H.
1979
A generalization of inverse scattering method. Zbl 1334.81106
Wadati, Miki; Konno, Kimiaki; Ichikawa, Yoshi Hiko
1979
Integrability and the motion of curves. Zbl 0968.53500
Nakayama, Kazuaki; Segur, Harvey; Wadati, Miki
1992
Simple derivation of Bäcklund transformation from Riccati form of inverse method. Zbl 1079.35505
1975
The coupled modified Korteweg-de Vries equations. Zbl 0973.35170
1998
Exact results for one-dimensional totally asymmetric diffusion models. Zbl 1085.83501
1998
Integrable semi-discretization of the coupled nonlinear Schrödinger equations. Zbl 0941.35112
Tsuchida, Takayuki; Ujino, Hideaki; Wadati, Miki
1999
Wave propagation in nonlinear lattice. II. Zbl 1334.82023
1975
Cusp soliton of a new integrable nonlinear evolution equation. Zbl 1059.37506
Wadati, Miki; Ichikawa, Yoshi H.; Shimizu, Toru
1980
Asymmetric simple exclusion process with open boundaries and Askey-Wilson polynomials. Zbl 1047.82019
Uchiyama, Masaru; Sasamoto, Tomohiro; Wadati, Miki
2004
Exactly solvable models and new link polynomials. I: N-state vertex models. Zbl 0719.57003
1987
New integrable systems of derivative nonlinear Schrödinger equations with multiple components. Zbl 0936.37043
1999
Integrable semi-discretization of the coupled modified KdV equations. Zbl 0933.35176
Tsuchida, Takayuki; Ujino, Hideaki; Wadati, Miki
1998
Knot invariants and the critical statistical systems. Zbl 0719.57002
1987
On the extension of inverse scattering method. Zbl 1098.81714
1974
Knot theory based on solvable models at criticality. Zbl 0847.57007
Deguchi, Tetsuo; Wadati, Miki; Akutsu, Yasuhiro
1989
Matter-wave solitons in an $$F=1$$ spinor Bose-Einstein condensate. Zbl 1067.82004
Ieda, Jun’ichi; Miyakawa, Takahiko; Wadati, Miki
2004
Exactly solvable models and new link polynomials. II: Link polynomials for closed 3-braids. Zbl 0719.57004
Akutsu, Yasuhiro; Deguchi, Tetsuo; Wadati, Miki
1987
Collapses of wavefunctions in multi-dimensional nonlinear Schrödinger equations under harmonic potential. Zbl 0973.76623
1997
Knots, links, braids and exactly solvable models in statistical mechanics. Zbl 0651.57005
1988
Invariances and conservation laws of the Korteweg-de Vries equation. Zbl 0386.35039
1978
Bäcklund transformation for the exponential lattice. Zbl 1334.82025
1975
New representations of the soliton solution for the Korteweg-de Vries equation. Zbl 1334.35300
1980
A new integrable nonlinear evolution equation. Zbl 1059.37505
1980
Exactly solvable models and new link polynomials. IV: IRF models. Zbl 0719.57006
Akutsu, Yasuhiro; Deguchi, Tetsuo; Wadati, Miki
1988
A new Hamiltonian amplitude equation governing modulated wave instabilities. Zbl 1112.35354
Wadati, Miki; Segur, H.; Ablowitz, M. J.
1992
The motion of a falling liquid filament. Zbl 1149.76405
Henderson, Diane; Segur, Harvey; Smolka, Linda B.; Wadati, Miki
2000
Chiral nonlinear Schrödinger equation. Zbl 0932.35190
Nishino, Akinori; Umeno, Yukiko; Wadati, Miki
1998
Complete integrability of derivative nonlinear Schrödinger-type equations. Zbl 0936.37047
1999
Eigenvalue distribution of random matrices at the spectrum edge. Zbl 0972.82543
1993
Integrability of Calogero-Moser spin system. Zbl 0972.81525
1993
A canonical transformation for the exponential lattice. Zbl 1334.82021
1975
The quantum Calogero-Moser model: Algebraic structures. Zbl 0972.37537
Ujino, Hideaki; Wadati, Miki; Hikami, Kazuhiro
1993
Motion of curves in the plane. Zbl 0972.53501
1993
Classification of exactly solvable two-component models. Zbl 1073.82546
Sogo, Kiyoshi; Uchinami, Mamoru; Akutsu, Yasuhiro; Wadati, Miki
1982
Deformation of solitons in random media. Zbl 0737.35088
1990
Stationary state of integrable systems in matrix product form. Zbl 0945.37022
1997
Rodrigues formula for Hi-Jack symmetric polynomials associated with the quantum Calogero model. Zbl 0948.39009
1996
Integrable multi-component hybrid nonlinear Schrödinger equations. Zbl 0972.35534
1995
Gauge transformations among generalised nonlinear Schrödinger equations. Zbl 0972.35533
1994
Noncommutative KP hierarchy and Hirota triple-product relations. Zbl 1134.37360
2004
Elastic model of looped DNA. Zbl 0607.92011
1986
Knot theory and integrable systems. Zbl 0813.35101
1993
Exactly solvable models and new link polynomials. V: Yang-Baxter operator and braid-monoid algebra. Zbl 0719.57007
Deguchi, Tetsuo; Wadati, Miki; Akutsu, Yasuhiro
1988
Multi-field integrable systems related to WKI-type eigenvalue problems. Zbl 0943.82009
1999
Instability of the Bose-Einstein condensate under magnetic trap. Zbl 0967.76618
1997
Integrable spin systems with long-range interactions. Zbl 0768.58046
Hikami, Kazuhiro; Kulish, P. P.; Wadati, Miki
1992
Exactly solvable models and new link polynomials. III: Two-variable topological invariants. Zbl 0719.57005
Deguchi, Tetsuo; Akutsu, Yasuhiro; Wadati, Miki
1988
Fermionic $$R$$-operator and integrability of the one-dimensional Hubbard model. Zbl 0943.82004
Umeno, Yukiko; Shiroishi, Masahiro; Wadati, Miki
1998
Infinite symmetry of the spin systems with inverse square interactions. Zbl 0972.82506
1993
The motion of surfaces. Zbl 0972.53503
1993
Stability of the $$D$$-dimensional nonlinear Schrödinger equation under confined potential. Zbl 0974.35117
1999
Quantum inverse scattering method and Yang-Baxter relation for integrable spin systems. Zbl 1098.82549
1982
Theory of canonical transformations for nonlinear evolution equations. I. Zbl 1079.35504
1976
Effective QCD partition function in sectors with non-zero topological charge and Itzykson-Zuber type integral. Zbl 0943.81050
1998
Fermionic $$R$$-operator for the fermion chain model. Zbl 0943.82011
Umeno, Yukiko; Shiroishi, Masahiro; Wadati, Miki
1998
Curve lengthening equation and its solutions. Zbl 0972.58501
Nakayama, Kazuaki; Iizuka, Takeshi; Wadati, Miki
1994
Exact spectrum and partition function of $$SU(m|n)$$ supersymmetric Polychronakos model. Zbl 0977.82008
Basu-Mallick, Bireswar; Ujino, Hideaki; Wadati, Miki
1999
Topics in quantum integrable systems. Zbl 1062.81082
2003
Multipartite entanglement and hyperdeterminants. Zbl 1152.81779
2002
Inverse scattering method for square matrix nonlinear Schrödinger equation under nonvanishing boundary conditions. Zbl 1121.37057
Ieda, Jun’ichi; Uchiyama, Masaru; Wadati, Miki
2007
Determinant form solution for the derivative nonlinear Schrödinger type model. Zbl 0943.82020
1998
Orthogonality of the Hi-Jack polynomials associated with the Calogero model. Zbl 0957.33010
1997
Explicit calculation of the partition function of a one-dimensional $$\delta$$-function Bose gas. Zbl 1076.82510
2001
Integrable boundary conditions for the one-dimensional Hubbard model. Zbl 1057.82505
1997
Boost operator and its application to quantum Gel’fand-Levitan equation for Heisenberg-Ising chain with spin one-half. Zbl 1098.82550
1983
Integrability and algebraic structure of the quantum Calogero-Moser model. Zbl 0811.35113
Wadati, Miki; Hikami, Kazuhiro; Ujino, Hideaki
1993
Noncommutative extension of $$\overline\partial$$-dressing method. Zbl 1059.35113
2003
Exact analysis of $$\delta$$-function attractive fermions and repulsive bosons in one-dimension. Zbl 1072.82510
2005
Connection between Yangian symmetry and the quantum inverse scattering method. Zbl 0901.35096
1996
Painlevé singularity structure analysis of three component Gross-Pitaevskii type equations. Zbl 1304.35645
Kanna, T.; Sakkaravarthi, K.; Kumar, C. Senthil; Lakshmanan, M.; Wadati, M.
2009
A remarkable transformation in nonlinear lattice problem. Zbl 1334.82024
1976
Wave propagation in nonlinear lattice. III. Zbl 1334.82012
1976
Application of the trace method to the modified Korteweg-de Vries equation. Zbl 1334.35301
1980
Bethe ansatz equation for the Hubbard model with boundary fields. Zbl 0942.82005
1997
Algebraic construction of the eigenstates for the second conserved operator of the quantum Calogero model. Zbl 0942.81621
1996
Integrable systems with long-range interactions, $$W_ \infty$$ algebra, and energy spectrum. Zbl 1063.81594
1994
Exact multi-line soliton solutions of noncommutative KP equation. Zbl 1047.35120
2003
Solutions of the Lieb-Liniger integral equation. Zbl 1057.82001
2002
Graphical representation of the partition function of a one-dimensional $$\delta$$-function Bose gas. Zbl 1063.82005
2001
Circular polarized nonlinear Alfven waves - A new type of nonlinear evolution equation in plasma physics. Zbl 0391.76090
Wadati, Miki; Sanuki, Heiji; Konno, Kimiaki; Ichikawa, Yoshi-Hiko
1978
The Yang-Baxter relation: A new tool for knot theory. Zbl 0717.57003
Akutsu, Yasuhiro; Deguchi, Tetsuo; Wadati, Miki
1989
Statistical mechanics of a one-dimensional $$\delta$$-function Bose gas. Zbl 1133.82306
2001
Moving discrete curve and geometric phase. Zbl 0972.53502
1996
Motion of curves specified by accelerations. Zbl 0962.53500
Tsurumi, Takeya; Segur, Harvey; Nakayama, Kazuaki; Wadati, Miki
1997
Rodrigues formulas for the non-symmetric multivariable polynomials associated with the $$\text{BC}_N$$-type root system. Zbl 0951.33011
Nishino, Akinori; Ujino, Hideaki; Komori, Yasushi; Wadati, Miki
2000
A new derivation of the Bäcklund transformation for the Volterra lattice. Zbl 0942.35006
1998
Algebraic construction of a new symmetric orthogonal basis for the Calogero model. Zbl 0943.81055
1998
Integrable dynamics of discrete surfaces. II. Zbl 0958.53003
1996
Orthogonal symmetric polynomials associated with the quantum Calogero model. Zbl 0972.81697
1995
Symmetric Fock space and orthogonal symmetric polynomials associated with the Calogero model. Zbl 1002.81012
Nishino, Akinori; Ujino, Hideaki; Wadati, Miki
2000
Bosonic and fermionic eigenstates for generalized Sutherland models. Zbl 0954.81069
2000
One-dimensional hard-core Bose gas. Zbl 0995.82501
2002
A new approach to noncommutative soliton equations. Zbl 1133.37333
2003
Soliton phenomena in unstable media. Zbl 0742.35050
Wadati, Miki; Iizuka, Takeshi; Yajima, Tetsu
1991
The theory and applications of the unstable nonlinear Schrödinger equation. Zbl 0755.35133
Wadati, Miki; Yajima, Tetsu; Iizuka, Takeshi
1991
Correlation function of Asymmetric Simple Exclusion Process with open boundaries. Zbl 1362.82028
2005
Collision of bright vector solitons in two-component Bose-Einstein condensates. Zbl 1248.82029
2010
Line-soliton dynamics and stability of Bose-Einstein condensates in $$(2+1)$$ Gross-Pitaevskii equation. Zbl 1310.35220
2010
Painlevé singularity structure analysis of three component Gross-Pitaevskii type equations. Zbl 1304.35645
Kanna, T.; Sakkaravarthi, K.; Kumar, C. Senthil; Lakshmanan, M.; Wadati, M.
2009
On the instability of electrostatic waves in a nonuniform electron-positron magnetoplasma. Zbl 1220.78034
El-Taibany, W. F.; Moslem, W. M.; Wadati, Miki; Shukla, P. K.
2008
Inverse scattering method for square matrix nonlinear Schrödinger equation under nonvanishing boundary conditions. Zbl 1121.37057
Ieda, Jun&rsquo;ichi; Uchiyama, Masaru; Wadati, Miki
2007
Exact analysis of a $${\delta}$$-function spin-1/2 attractive Fermi gas with arbitrary polarization. Zbl 1456.82273
2007
BCS-BEC crossover in one-dimensional integrable model. Zbl 1236.82038
2006
Exact analysis of $$\delta$$-function attractive fermions and repulsive bosons in one-dimension. Zbl 1072.82510
2005
Correlation function of Asymmetric Simple Exclusion Process with open boundaries. Zbl 1362.82028
2005
WDVV equation and triple-product relation. Zbl 1137.81336
Shigechi, Keiichi; Wadati, Miki; Wang, Ning
2005
Asymmetric simple exclusion process with open boundaries and Askey-Wilson polynomials. Zbl 1047.82019
Uchiyama, Masaru; Sasamoto, Tomohiro; Wadati, Miki
2004
Matter-wave solitons in an $$F=1$$ spinor Bose-Einstein condensate. Zbl 1067.82004
Ieda, Jun&rsquo;ichi; Miyakawa, Takahiko; Wadati, Miki
2004
Noncommutative KP hierarchy and Hirota triple-product relations. Zbl 1134.37360
2004
Bethe ansatz cluster expansion method for quantum integrable particle systems. Zbl 1075.82008
2004
Topics in quantum integrable systems. Zbl 1062.81082
2003
Noncommutative extension of $$\overline\partial$$-dressing method. Zbl 1059.35113
2003
Exact multi-line soliton solutions of noncommutative KP equation. Zbl 1047.35120
2003
A new approach to noncommutative soliton equations. Zbl 1133.37333
2003
Solutions of the Yang-Yang integral equation at zero-temperature. Zbl 1112.82306
2003
Multipartite entanglement and hyperdeterminants. Zbl 1152.81779
2002
Solutions of the Lieb-Liniger integral equation. Zbl 1057.82001
2002
One-dimensional hard-core Bose gas. Zbl 0995.82501
2002
Direct calculation of thermodynamic quantities for the Heisenberg model. Zbl 1060.82009
2002
Explicit calculation of the partition function of a one-dimensional $$\delta$$-function Bose gas. Zbl 1076.82510
2001
Graphical representation of the partition function of a one-dimensional $$\delta$$-function Bose gas. Zbl 1063.82005
2001
Statistical mechanics of a one-dimensional $$\delta$$-function Bose gas. Zbl 1133.82306
2001
Integrable boundary impurities in the $$t$$-$$J$$ model with different gradings. Zbl 0974.82008
2001
Symmetric and non-symmetric bases of quantum integrable particle systems with long-range interactions. Zbl 0981.81076
Wadati, Miki; Nishino, Akinori; Ujino, Hideaki; Komori, Yasushi
2001
The motion of a falling liquid filament. Zbl 1149.76405
Henderson, Diane; Segur, Harvey; Smolka, Linda B.; Wadati, Miki
2000
Rodrigues formulas for the non-symmetric multivariable polynomials associated with the $$\text{BC}_N$$-type root system. Zbl 0951.33011
Nishino, Akinori; Ujino, Hideaki; Komori, Yasushi; Wadati, Miki
2000
Symmetric Fock space and orthogonal symmetric polynomials associated with the Calogero model. Zbl 1002.81012
Nishino, Akinori; Ujino, Hideaki; Wadati, Miki
2000
Bosonic and fermionic eigenstates for generalized Sutherland models. Zbl 0954.81069
2000
Boundary impurities in the generalized supersymmetric $$t$$-$$J$$ model. Zbl 0962.82014
Fan, Heng; Wadati, Miki; Yue, Rui-hong
2000
Correlation functions of finite $$XXZ$$ model with boundaries. Zbl 0976.82016
2000
Integrable semi-discretization of the coupled nonlinear Schrödinger equations. Zbl 0941.35112
Tsuchida, Takayuki; Ujino, Hideaki; Wadati, Miki
1999
New integrable systems of derivative nonlinear Schrödinger equations with multiple components. Zbl 0936.37043
1999
Complete integrability of derivative nonlinear Schrödinger-type equations. Zbl 0936.37047
1999
Multi-field integrable systems related to WKI-type eigenvalue problems. Zbl 0943.82009
1999
Stability of the $$D$$-dimensional nonlinear Schrödinger equation under confined potential. Zbl 0974.35117
1999
Exact spectrum and partition function of $$SU(m|n)$$ supersymmetric Polychronakos model. Zbl 0977.82008
Basu-Mallick, Bireswar; Ujino, Hideaki; Wadati, Miki
1999
Rodrigues formula for the nonsymmetric multivariable Laguerre polynomial. Zbl 0945.33010
Nishino, Akinori; Ujino, Hideaki; Wadati, Miki
1999
Bäcklund transformation for solutions of the modified Volterra lattice equation. Zbl 0944.35076
1999
An algebraic approach to the non-symmetric Macdonald polynomial. Zbl 0957.33012
Nishino, Akinori; Ujino, Hideaki; Wadati, Miki
1999
Rodrigues formula for the nonsymmetric multivariable Hermite polynomial. Zbl 0960.33006
1999
Spontaneous magnetization in the bounded XXZ spin chain. Zbl 0943.82007
1999
Correlation functions of the asymmetric $$XXZ$$ chain and the Painlevé V equation. Zbl 0977.82009
1999
Fermionic $$R$$-operator approach for the small-polaron model with open boundary condition. Zbl 1079.82524
Umeno, Yukiko; Fan, Heng; Wadati, Miki
1999
The coupled modified Korteweg-de Vries equations. Zbl 0973.35170
1998
Exact results for one-dimensional totally asymmetric diffusion models. Zbl 1085.83501
1998
Integrable semi-discretization of the coupled modified KdV equations. Zbl 0933.35176
Tsuchida, Takayuki; Ujino, Hideaki; Wadati, Miki
1998
Chiral nonlinear Schrödinger equation. Zbl 0932.35190
Nishino, Akinori; Umeno, Yukiko; Wadati, Miki
1998
Fermionic $$R$$-operator and integrability of the one-dimensional Hubbard model. Zbl 0943.82004
Umeno, Yukiko; Shiroishi, Masahiro; Wadati, Miki
1998
Effective QCD partition function in sectors with non-zero topological charge and Itzykson-Zuber type integral. Zbl 0943.81050
1998
Fermionic $$R$$-operator for the fermion chain model. Zbl 0943.82011
Umeno, Yukiko; Shiroishi, Masahiro; Wadati, Miki
1998
Determinant form solution for the derivative nonlinear Schrödinger type model. Zbl 0943.82020
1998
A new derivation of the Bäcklund transformation for the Volterra lattice. Zbl 0942.35006
1998
Algebraic construction of a new symmetric orthogonal basis for the Calogero model. Zbl 0943.81055
1998
Bi-Hamiltonian structure of modified Volterra model. Zbl 0956.37050
1998
Fock spaces for the Calogero models with distinguishable particles. Zbl 0943.81056
Ujino, Hideaki; Nishino, Akinori; Wadati, Miki
1998
New nonsymmetric orthogonal basis for the Calogero model with distinguishable particles. Zbl 0941.81058
Ujino, Hideaki; Nishino, Akinori; Wadati, Miki
1998
Coupled nonlinear Schrödinger equations for two-component wave systems. Zbl 0946.35096
Kajinaga, Yasumasa; Tsuchida, Takayuki; Wadati, Miki
1998
Coupled nonlinear Schrödinger equations for two-component wave systems. Zbl 0973.35177
Kajinaga, Yasumasa; Tsuchida, Takayuki; Wadati, Miki
1998
$$SO(4)$$ symmetry of the transfer matrix for the one-dimensional Hubbard model. Zbl 0941.82020
Shiroishi, Masahiro; Ujino, Hideaki; Wadati, Miki
1998
Diffusions on symmetric spaces of type A III and random matrix theories for rectangular matrices. Zbl 0907.58071
1998
Collapses of wavefunctions in multi-dimensional nonlinear Schrödinger equations under harmonic potential. Zbl 0973.76623
1997
Stationary state of integrable systems in matrix product form. Zbl 0945.37022
1997
Instability of the Bose-Einstein condensate under magnetic trap. Zbl 0967.76618
1997
Orthogonality of the Hi-Jack polynomials associated with the Calogero model. Zbl 0957.33010
1997
Integrable boundary conditions for the one-dimensional Hubbard model. Zbl 1057.82505
1997
Bethe ansatz equation for the Hubbard model with boundary fields. Zbl 0942.82005
1997
Motion of curves specified by accelerations. Zbl 0962.53500
Tsurumi, Takeya; Segur, Harvey; Nakayama, Kazuaki; Wadati, Miki
1997
Dynamic matrix product ansatz and Bethe ansatz equation for asymmetric exclusion process with periodic boundary. Zbl 0942.82006
1997
Hungry Volterra model and a new hierarchy of discrete models. Zbl 0944.35100
1997
A discrete curve-shortening equation. Zbl 0897.34010
Nakayama, Kazuaki; Segur, Harvey; Wadati, Miki
1997
Tri-Hamiltonian structure and complete integrability of Volterra model. Zbl 0945.37023
Tsuchida, Takayuki; Kajinaga, Yasumasa; Wadati, Miki
1997
Integrability of the one-dimensional Bariev model. Zbl 1001.82517
1997
Laguerre ensemble and integrable systems. Zbl 0917.15019
1997
Rodrigues formula for Hi-Jack symmetric polynomials associated with the quantum Calogero model. Zbl 0948.39009
1996
Connection between Yangian symmetry and the quantum inverse scattering method. Zbl 0901.35096
1996
Algebraic construction of the eigenstates for the second conserved operator of the quantum Calogero model. Zbl 0942.81621
1996
Moving discrete curve and geometric phase. Zbl 0972.53502
1996
Integrable dynamics of discrete surfaces. II. Zbl 0958.53003
1996
Lax pair for the Hubbard model from the Yang-Baxter relation. Zbl 0942.82516
1996
Lax pairs for four-wave interaction systems. Zbl 0942.37044
1996
Massless Thirring model and Bethe ansatz wavefunction. Zbl 0942.81605
1996
Bethe ansatz wavefunctions and an infinite number of conserved operators of the Luttinger model. Zbl 0972.82514
1996
Exclusion statistical TBA and the quantum Calogero model. Zbl 0942.82503
1996
Matrix models of two-dimensional gravity and discrete Toda theory. Zbl 1022.81738
1996
Integrable multi-component hybrid nonlinear Schrödinger equations. Zbl 0972.35534
1995
Orthogonal symmetric polynomials associated with the quantum Calogero model. Zbl 0972.81697
1995
On the level-set formulation of geometrical models. Zbl 0972.53507
Nakayama, Kazuaki; Hoppe, Jens; Wadati, Miki
1995
Reaction-diffusion system in a curved space and the KPZ equations. Zbl 0972.53511
1995
Correspondence between QISM and exchange operator formalism. Zbl 0972.81651
1995
Motion of discrete curves in the plane. Zbl 0972.53504
1995
Algebraic approach to the eigenstates of the quantum Calogero model confined in an external harmonic well. Zbl 0824.58055
1995
Quantum integrability and quantum groups. Zbl 0890.58027
1995
Gauge transformations among generalised nonlinear Schrödinger equations. Zbl 0972.35533
1994
Curve lengthening equation and its solutions. Zbl 0972.58501
Nakayama, Kazuaki; Iizuka, Takeshi; Wadati, Miki
1994
Integrable systems with long-range interactions, $$W_ \infty$$ algebra, and energy spectrum. Zbl 1063.81594
1994
A useful auxiliary linear system for a Davey-Stewartson hierarchy. Zbl 0959.35513
1994
...and 59 more Documents
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### Cited by 1,660 Authors

 38 Wazwaz, Abdul-Majid Abdul-Rahman 36 Tian, Bo 26 Wadati, Miki 23 Geng, Xianguo 21 Ma, Wen-Xiu 15 Zhang, Weiguo 14 Zhang, Dajun 14 Zhang, Hongqing 14 Zhang, Yufeng 13 Chen, Dengyuan 13 Xu, Tao 12 Qiao, Zhijun 10 Fan, Engui 10 Jiang, Yan 10 Lü, Xing 10 Shen, Shoufeng 10 Tam, Honwah 10 Vakhnenko, Oleksiy O. 10 Wang, Dengshan 10 Wen, Xiaoyong 10 Xia, Tie-Cheng 10 Yan, Zhenya 10 Yang, Hongwei 10 Yu, Fajun 9 Feng, Baofeng 9 Gao, Yitian 9 Meng, Xianghua 9 Petrov, Leonid 9 Qu, Changzheng 9 Van der Mee, Cornelis Victor Maria 9 Wang, Pan 9 Xue, Bo 8 Bekir, Ahmet 8 Borodin, Alexei 8 Corwin, Ivan Z. 8 Konopelchenko, Boris Georgievich 8 Sun, Yepeng 8 Ujino, Hideaki 8 Xu, Xixiang 8 Yang, Liangui 8 Zhang, Haiqiang 8 Zhang, Ruigang 7 Corteel, Sylvie 7 Deguchi, Tetsuo 7 Demontis, Francesco 7 Kauffman, Louis Hirsch 7 Liu, Quansheng 7 Liu, Wenjun J. 7 Ohta, Yasuhiro 7 Sasamoto, Tomohiro 7 Zhang, Jian 6 Basu-Mallick, Bireswar 6 Chen, Mingming 6 He, Jingsong 6 Hsieh, Chun-Chung 6 Lakshmanan, Muthusamy 6 Li, Chunxia 6 Nishino, Akinori 6 Qi, Fenghua 6 Ragoucy, Eric 6 Sayed, S. M. 6 Shan, Wenrui 6 Vanicat, Matthieu 6 Wang, Kedong 6 Williams, Lauren K. 6 Xue, Kang 6 Yao, Yuqin 6 Yusufoğlu (Agadjanov), Elçin 6 Zhang, Yi 6 Zhang, Yongshuai 6 Zhu, Yonggui 6 Zhu, Zuonong 5 Biswas, Anjan 5 Bryc, Włodzimierz 5 Callebaut, Dirk K. 5 Chang, Qianshun 5 Chen, Yong 5 Dong, Huanhe 5 Emsiz, Erdal 5 Guo, Boling 5 Ji, Jie 5 Khater, Ahmed H. 5 Kuniba, Atsuo 5 Li, Biao 5 Li, Min 5 Manojlović, Nenad 5 Ning, Tongke 5 Okado, Masato 5 Sasaki, Ryu 5 Sun, Kun 5 Tian, Shoufu 5 Vinet, Luc 5 Wang, Yufeng 5 Xue, Yushan 5 Yang, Hongxiang 5 You, Fucai 5 Zhou, Ruguang 4 Anco, Stephen C. 4 António, N. Cirilo 4 Chen, Jianqing ...and 1,560 more Authors
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### Cited in 212 Serials

 152 Journal of Mathematical Physics 117 Chaos, Solitons and Fractals 79 Applied Mathematics and Computation 36 Communications in Mathematical Physics 36 Communications in Nonlinear Science and Numerical Simulation 35 Physica D 33 Nonlinear Dynamics 31 Theoretical and Mathematical Physics 29 International Journal of Modern Physics B 29 Journal of Mathematical Analysis and Applications 29 Nuclear Physics. B 25 Letters in Mathematical Physics 20 Journal of Statistical Physics 19 International Journal of Theoretical Physics 19 Journal of Geometry and Physics 19 Studies in Applied Mathematics 18 Journal of High Energy Physics 17 Physics Letters. A 17 Journal of Nonlinear Mathematical Physics 16 Modern Physics Letters B 15 Applied Mathematics Letters 14 Journal of Physics A: Mathematical and Theoretical 12 Computers & Mathematics with Applications 12 Journal of Statistical Mechanics: Theory and Experiment 11 Journal of Knot Theory and its Ramifications 10 Wave Motion 10 Journal of Applied Mathematics 10 Communications in Theoretical Physics 9 International Journal of Modern Physics A 9 Transactions of the American Mathematical Society 9 Acta Applicandae Mathematicae 9 Advances in Difference Equations 9 Waves in Random and Complex Media 8 Reports on Mathematical Physics 8 International Journal of Computer Mathematics 7 Mathematical Methods in the Applied Sciences 7 Journal of Computational and Applied Mathematics 7 Acta Mathematicae Applicatae Sinica. English Series 7 Physical Review Letters 6 Physics of Fluids 6 Journal of Mathematical Sciences (New York) 6 Mathematical Problems in Engineering 6 Abstract and Applied Analysis 6 Chaos 6 Annales Henri Poincaré 6 International Journal of Geometric Methods in Modern Physics 6 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 6 Advances in Mathematical Physics 5 Journal of Fluid Mechanics 5 Physica A 5 Mathematical and Computer Modelling 5 Journal of Nonlinear Science 5 Selecta Mathematica. New Series 5 International Journal of Nonlinear Sciences and Numerical Simulation 5 Quantum Information Processing 5 Frontiers of Mathematics in China 5 AIMS Mathematics 4 Applicable Analysis 4 Physics Letters. B 4 Reviews in Mathematical Physics 4 Advances in Mathematics 4 Journal of Differential Equations 4 Mathematics and Computers in Simulation 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 Probability Theory and Related Fields 4 Nonlinear Analysis. Real World Applications 4 Science China. Mathematics 3 Modern Physics Letters A 3 Astrophysics and Space Science 3 Bulletin of the Australian Mathematical Society 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Duke Mathematical Journal 3 Journal of Soviet Mathematics 3 Proceedings of the American Mathematical Society 3 Applied Mathematics and Mechanics. (English Edition) 3 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 3 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 3 Journal of Shanghai University 3 Discrete Dynamics in Nature and Society 3 International Journal of Modern Physics C 3 Journal of Modern Optics 3 Discrete and Continuous Dynamical Systems. Series S 3 Analysis and Mathematical Physics 3 International Journal of Applied and Computational Mathematics 2 Communications on Pure and Applied Mathematics 2 Journal of Computational Physics 2 Journal of Engineering Mathematics 2 Mathematical Notes 2 Nonlinearity 2 Physics Reports 2 Rocky Mountain Journal of Mathematics 2 Ukrainian Mathematical Journal 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 2 Functional Analysis and its Applications 2 Publications of the Research Institute for Mathematical Sciences, Kyoto University 2 Advances in Applied Mathematics 2 Applied Numerical Mathematics 2 Numerical Methods for Partial Differential Equations 2 Stochastic Processes and their Applications ...and 112 more Serials
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### Cited in 51 Fields

 779 Partial differential equations (35-XX) 494 Dynamical systems and ergodic theory (37-XX) 237 Quantum theory (81-XX) 196 Statistical mechanics, structure of matter (82-XX) 78 Nonassociative rings and algebras (17-XX) 77 Fluid mechanics (76-XX) 61 Probability theory and stochastic processes (60-XX) 56 Differential geometry (53-XX) 52 Manifolds and cell complexes (57-XX) 51 Numerical analysis (65-XX) 48 Special functions (33-XX) 46 Ordinary differential equations (34-XX) 44 Global analysis, analysis on manifolds (58-XX) 39 Optics, electromagnetic theory (78-XX) 33 Associative rings and algebras (16-XX) 31 Difference and functional equations (39-XX) 30 Combinatorics (05-XX) 26 Mechanics of particles and systems (70-XX) 25 Linear and multilinear algebra; matrix theory (15-XX) 25 Computer science (68-XX) 25 Mechanics of deformable solids (74-XX) 20 Group theory and generalizations (20-XX) 18 Operator theory (47-XX) 14 Algebraic geometry (14-XX) 14 Topological groups, Lie groups (22-XX) 12 Relativity and gravitational theory (83-XX) 8 Geophysics (86-XX) 7 Harmonic analysis on Euclidean spaces (42-XX) 7 Biology and other natural sciences (92-XX) 6 Approximations and expansions (41-XX) 4 Number theory (11-XX) 4 Functions of a complex variable (30-XX) 4 Several complex variables and analytic spaces (32-XX) 4 Integral equations (45-XX) 4 Functional analysis (46-XX) 3 Commutative algebra (13-XX) 3 Integral transforms, operational calculus (44-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 Potential theory (31-XX) 2 Statistics (62-XX) 2 Astronomy and astrophysics (85-XX) 2 Operations research, mathematical programming (90-XX) 2 Systems theory; control (93-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Category theory; homological algebra (18-XX) 1 Abstract harmonic analysis (43-XX) 1 Geometry (51-XX) 1 Algebraic topology (55-XX) 1 Information and communication theory, circuits (94-XX)