## Journal of the Physical Society of Japan

 Short Title: J. Phys. Soc. Japan Publisher: Physical Society of Japan, Tokyo ISSN: 0031-9015; 1347-4073/e Online: http://www.ipap.jp/jpsj/index.htmhttp://www.journalarchive.jst.go.jp/english/jnltop_en.php?cdjournal=jpsj1946 Predecessor: Proceedings of the Physico-Mathematical Society of Japan Comments: No longer indexed
 Documents Indexed: 1,321 Publications (1957–2007) References Indexed: 2 Publications with 27 References.
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### Authors

 107 Wadati, Miki 25 Hirota, Ryogo 23 Hikami, Kazuhiro 17 Ujino, Hideaki 14 Konno, Kimiaki 14 Taniuti, Tosiya 12 Hu, Xingbiao 10 Chow, Kwok Wing 10 Inoue, Rei 9 Hisakado, Masato 9 Kakuhata, Hiroshi 9 Matsuno, Yoshimasa 9 Nozaki, Kazuhiro 9 Satsuma, Junkichi 9 Shibata, Fumiaki 9 Shiroishi, Masahiro 9 Sogo, Kiyoshi 8 Akutsu, Yasuhiro 8 Deguchi, Tetsuo 8 Geng, Xianguo 8 Itoh, Kimitaka 8 Itoh, Sanae-Inoue 8 Miyazaki, Takeshi 8 Morioka, Shigeki 8 Nakayama, Kazuaki 8 Narita, Kazuaki 8 Ogata, Masao 8 Yoshizawa, Akira 8 Zhu, Zuonong 7 Kawata, Tutomu 7 Ma, Wen-Xiu 7 Nakamura, Akira 7 Ono, Hiroaki 7 Ruan, Hangyu 7 Sawada, Katuro 7 Takane, Yositake 7 Tsuchida, Takayuki 7 Tsurumi, Takeya 6 Akuzawa, Toshinao 6 Ando, Tsuneya 6 Chen, Dengyuan 6 Gotoh, Kanefusa 6 Imai, Kenji 6 Imamura, Tsutomu 6 Inui, Norio 6 Kajinaga, Yasumasa 6 Kakei, Saburo 6 Kapur, Jagat Narain 6 Kitajima, Sachiko 6 Miyake, Kazumasa 6 Nagao, Taro 6 Oikawa, Masayuki 6 Okada, Masato 6 Tajiri, Masayoshi 6 Yajima, Tetsu 6 Zhang, Dajun 5 Asano, Naruyoshi 5 Deng, Shufang 5 Ichikawa, Yoshi-Hiko 5 Inoue, Hiroshi 5 Kita, Takafumi 5 Konno, Hidetoshi 5 Kotera, Takeyasu 5 Kubo, Ryogo 5 Miyagi, Tosio 5 Mizushima, Jiro 5 Munehisa, Tomo 5 Nakamura, Katsuhiro 5 Nakata, Isamu 5 Nishimori, Hidetoshi 5 Nishinari, Katsuhiro 5 Odagaki, Takashi 5 Oguri, Akira 5 Ohta, Yasuhiro 5 Peng, Yanze 5 Wang, Ning 5 Watanabe, Shinsuke 5 Xue, Weimin 5 Yajima, Nobuo 5 Yanase, Shinichiro 5 Yanase, Youichi 5 Yoshinaga, Takao 4 Dai, Huihui 4 Date, Etsuro 4 Doi, Masao 4 Fujii, Yasuhiro 4 Hatsugai, Yasuhiro 4 Hayakawa, Hisao 4 Hayasi, Nisiki 4 Huang, Hongci 4 Ichiyanagi, Masakazu 4 Igarashi, Akira 4 Imada, Masatoshi 4 Ishibashi, Yoshihiro 4 Jimbo, Michio 4 Kabashima, Yoshiyuki 4 Kawahara, Takuji 4 Khater, Ahmed H. 4 Komori, Yasushi 4 Lomdahl, Peter S. ...and 1,218 more Authors
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### Fields

 412 Statistical mechanics, structure of matter (82-XX) 345 Partial differential equations (35-XX) 269 Dynamical systems and ergodic theory (37-XX) 238 Fluid mechanics (76-XX) 216 Quantum theory (81-XX) 35 Optics, electromagnetic theory (78-XX) 34 Biology and other natural sciences (92-XX) 33 Difference and functional equations (39-XX) 29 Probability theory and stochastic processes (60-XX) 27 Numerical analysis (65-XX) 26 Ordinary differential equations (34-XX) 25 Mechanics of deformable solids (74-XX) 23 Special functions (33-XX) 17 Mechanics of particles and systems (70-XX) 16 Differential geometry (53-XX) 13 Classical thermodynamics, heat transfer (80-XX) 13 Relativity and gravitational theory (83-XX) 11 Information and communication theory, circuits (94-XX) 10 Geophysics (86-XX) 9 Nonassociative rings and algebras (17-XX) 9 Manifolds and cell complexes (57-XX) 8 Computer science (68-XX) 6 Topological groups, Lie groups (22-XX) 6 Operations research, mathematical programming (90-XX) 5 Combinatorics (05-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Group theory and generalizations (20-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Astronomy and astrophysics (85-XX) 3 Systems theory; control (93-XX) 2 Integral equations (45-XX) 2 Convex and discrete geometry (52-XX) 2 Statistics (62-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Number theory (11-XX) 1 Associative rings and algebras (16-XX) 1 $$K$$-theory (19-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Potential theory (31-XX) 1 Integral transforms, operational calculus (44-XX) 1 Operator theory (47-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Geometry (51-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

### Citations contained in zbMATH Open

628 Publications have been cited 5,254 times in 4,092 Documents Cited by Year
Algebraic solitary waves in stratified fluids. Zbl 1334.76027
Ono, Hiroaki
1975
Operator approach to the Kadomtsev-Petviashvili equation. Transformation groups for soliton equations. III. Zbl 0571.35099
Date, E.; Jimbo, M.; Kashiwara, M.; Miwa, T.
1981
The modified Korteweg-de Vries equation. Zbl 1334.35299
Wadati, Miki
1973
An extension of nonlinear evolution equations of the K-dV (mK-dV) type to higher orders. Zbl 1334.35282
Ito, Masaaki
1980
KP hierarchies of orthogonal and symplectic type. Transformation groups for soliton equations. VI. Zbl 0571.35102
Date, E.; Jimbo, M.; Kashiwara, M.; Miwa, T.
1981
$$N$$-soliton solutions of model equations for shallow water waves. Zbl 1334.76016
Hirota, Ryogo; Satsuma, Junkichi
1976
Wave propagation in nonlinear lattice. I. Zbl 1334.82022
Wadati, Miki
1975
New type of soliton solutions for a higher-order nonlinear Schrödinger equation. Zbl 0920.35128
Sasa, Narimasa; Satsuma, Junkichi
1991
New integrable nonlinear evolution equations. Zbl 1334.35256
Wadati, Miki; Konno, Kimiaki; Ichikawa, Yoshi H.
1979
Modified nonlinear Schrödinger equation for Alfvén waves propagating along the magnetic field in cold plasmas. Zbl 1334.76181
Mio, Koji; Ogino, Tatsuki; Minami, Kazuo; Takeda, Susumu
1976
The short pulse equation is integrals. Zbl 1067.35115
Sakovich, Anton; Sakovich, Sergei
2005
Approximate equations for long nonlinear waves on a viscous fluid. Zbl 1334.76054
Topper, Jeffrey; Kawahara, Takuji
1978
A generalization of inverse scattering method. Zbl 1334.81106
Wadati, Miki; Konno, Kimiaki; Ichikawa, Yoshi Hiko
1979
Nonlinear partial difference equations. I: A difference analogue of the Korteweg-de Vries equation. Zbl 1334.39013
Hirota, Ryogo
1977
A direct method of calculating periodic wave solutions to nonlinear evolution equations. I: Exact two-periodic wave solution. Zbl 1334.35006
Nakamura, Akira
1979
$$N$$-soliton solution of the two-dimensional Korteweg-deVries equation. Zbl 1334.35296
Satsuma, Junkichi
1976
Hierarchies of coupled soliton equations. I. Zbl 1160.37395
Hirota, Ryogo; Ohta, Yasuhiro
1991
Theory of solid state plasma waveguide in a transverse magnetic field. Zbl 0124.21603
Hirota, R.
1964
Method for generating discrete soliton equations. III. Zbl 0571.35105
Date, E.; Jimbo, M.; Miwa, T.
1983
Nonlinear partial difference equations. III: Discrete sine-Gordon equation. Zbl 1334.39015
Hirota, Ryogo
1977
Nonlinear partial difference equations. II: Discrete-time Toda equation. Zbl 1334.39014
Hirota, Ryogo
1977
The Hirota-Satsuma coupled KdV equation and a coupled Ito system revisited. Zbl 0965.35144
Tam, Hon-Wah; Ma, Wen-Xiu; Hu, Xing-Biao; Wang, Dao-Liu
2000
The coupled modified Korteweg-de Vries equations. Zbl 0973.35170
Tsuchida, Takayuki; Wadati, Miki
1998
A Bäcklund transformation for a higher order Korteweg-de Vries equation. Zbl 1334.81041
Satsuma, Junkichi; Kaup, David J.
1977
Bilinearization of a generalized derivative nonlinear Schrödinger equation. Zbl 0972.35535
Kakei, Saburo; Sasa, Narimasa; Satsuma, Junkichi
1995
The $$N$$-soliton solutions for the modified KdV equation with self-consistent sources. Zbl 1058.37054
Zhang, Dajun
2002
Generalized commulant expansion method. Zbl 0118.45203
Kubo, Ryogo
1962
A direct method of calculating periodic wave solutions to nonlinear evolution equations. II. Exact one- and two-periodic wave solution of the coupled bilinear equations. Zbl 1334.35250
Nakamura, Akira
1980
Effect of viscosity of long gravity waves. Zbl 1334.76018
Kakutani, Tsunehiko; Matsuuchi, Kazuo
1975
Transformations for the Camassa-Holm equation, its high-frequency limit and the Sinh-Gordon equation. Zbl 0946.35082
Dai, Hui-Hui; Pavlov, Maxim
1998
Soliton, positon and negaton solutions to a Schrödinger self-consistent source equation. Zbl 1133.81332
Ma, Wen-Xiu
2003
Synchronization of chaotic fractional Chen system. Zbl 1080.34537
Deng, Weihua; Li, Changpin
2005
Darboux transformation and soliton solutions for generalized nonlinear Schrödinger equations. Zbl 0944.35093
Geng, Xianguo; Tam, Hon-Wah
1999
Wave propagation in nonlinear lattice. II. Zbl 1334.82023
Wadati, Miki
1975
Markov processes and the H-theorem. Zbl 0156.23804
Morimoto, Tetsuzo
1963
Dunkl operator formalism for quantum many-body problems associated with classical root systems. Zbl 0942.81620
Hikami, Kazuhiro
1996
Exactly solvable models and new link polynomials. I: N-state vertex models. Zbl 0719.57003
Akutsu, Yasuhiro; Wadati, Miki
1987
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
1993
Theorems on the partition functions of the Heisenberg ferromagnets. Zbl 1230.82052
Asano, Taro
1970
On stability of some finite difference schemes for the Korteweg-de Vries equation. Zbl 1337.65136
Goda, Katuhiko
1975
Higher order approximation in the reductive perturbation method. I: The weakly dispersive system. Zbl 1334.76103
Kodama, Yuji; Taniuti, Tosiya
1978
The multisoliton solutions of the KP equation with self-consistent sources. Zbl 1056.35139
Deng, Shu-fang; Chen, Deng-yuan; Zhang, Da-jun
2003
Inverse scattering method for the nonlinear evolution equations under nonvanishing conditions. Zbl 1334.81104
Kawata, Tutomu; Inoue, Hiroshi
1978
Soliton solutions of a coupled modified KdV equations. Zbl 0946.35078
Iwao, Masataka; Hirota, Ryogo
1997
New finite-dimensional integrable systems by symmetry constraint of the KdV equations. Zbl 0972.37540
Ma, Wenxiu
1995
Kinetic theory of slightly strong evaporation and condensation. Hydrodynamic equation and slip boundary condition for finite Reynolds number. Zbl 1334.82005
Onishi, Yoshimoto; Sone, Yoshio
1979
Knot invariants and the critical statistical systems. Zbl 0719.57002
Akutsu, Yasuhiro; Wadati, Miki
1987
Discretization of the Euler top. Zbl 1058.70504
Hirota, Ryogo; Kimura, Kinji
2000
Conserved quantities of a class of nonlinear difference-difference equations. Zbl 0972.39501
Hirota, Ryogo; Tsujimoto, Satoshi
1995
Parametric representation for the multisoliton solution of the Camassa-Holm equation. Zbl 1076.35102
Matsuno, Yoshimasa
2005
Method for generating discrete soliton equations. IV. Zbl 0571.35106
Date, E.; Jimbo, M.; Miwa, T.
1983
Bäcklund transform and conservation laws of the Benjamin-Ono equation. Zbl 1334.35178
Nakamura, Akira
1979
Multisoliton solutions of a derivative nonlinear Schrödinger equation. Zbl 1334.81039
Nakamura, Akira; Chen, Hsing Hen
1980
A generalization of coupled integrable, dispersionless system. Zbl 0946.37033
Kakuhata, Hiroshi; Konno, Kimiaki
1996
Time-dependent orthogonal polynomials and theory of soliton. Applications to matrix model, vertex model and level statistics. Zbl 0972.81634
Sogo, Kiyoshi
1993
Master symmetries from Lax operators for certain lattice soliton hierarchies. Zbl 1058.37532
Tamizhmani, K. M.; Ma, Wen-Xiu
2000
Numerical solution of the Navier-Stokes equations for the flow in a two- dimensional cavity. Zbl 0126.42403
Kawaguti, Mitutosi
1961
Discretization of the Lagrange top. Zbl 1058.70506
Kimura, Kinji; Hirota, Ryogo
2000
Interaction of ion-acoustic solitons in two-dimensional space. Zbl 1334.82062
Kako, Fujio; Yajima, Nobuo
1980
Pfaffian representation of solutions to the discrete BKP hierarchy in bilinear form. Zbl 0948.39007
Tsujimoto, Satoshi; Hirota, Ryogo
1996
A perturbation approach to nonlinear systems. I: Interactions of solitary waves. Zbl 1334.76074
Oikawa, Masayuki; Yajima, Nobuo
1973
Matter-wave solitons in an $$F=1$$ spinor Bose-Einstein condensate. Zbl 1067.82004
Ieda, Jun’ichi; Miyakawa, Takahiko; Wadati, Miki
2004
The Hall effect in the viscous flow of ionized gas between parallel plates under transverse magnetic field. Zbl 0112.42504
Sato, Hiroshi
1961
The novel multi-soliton solutions of the mKdV-sine Gordon equations. Zbl 1080.35529
Chen, Dengyuan; Zhang, Dajun; Deng, Shufang
2002
Exactly solvable models and new link polynomials. II: Link polynomials for closed 3-braids. Zbl 0719.57004
Akutsu, Yasuhiro; Deguchi, Tetsuo; Wadati, Miki
1987
Generalization of the Kaup-Newell inverse scattering formulation and Darboux transformation. Zbl 0944.35092
Imai, Kenji
1999
Magnetic fluid model induced by peristaltic waves. Zbl 1059.92020
Siddiqui, A. M.; Hayat, T.; Khan, Masood
2004
Collapses of wavefunctions in multi-dimensional nonlinear Schrödinger equations under harmonic potential. Zbl 0973.76623
Tsurumi, Takeya; Wadati, Miki
1997
Emptiness formation probability for the one-dimensional isotropic $$XY$$ model. Zbl 1120.82304
Shiroishi, Masahiro; Takahashi, Minoru; Nishiyama, Yoshihiro
2001
On equations gauge equivalent to the sine-Gordon and Pohlmeyer-Lund-Regge equations. Zbl 0972.35522
Kotlyarov, Vladimir P.
1994
On the $$H$$-theorem from the standpoint of classical mechanics. Zbl 1230.82006
Morimoto, Tetsuzo
1967
Bäcklund transformation for the exponential lattice. Zbl 1334.82025
Wadati, Miki; Toda, Morikazu
1975
New representations of the soliton solution for the Korteweg-de Vries equation. Zbl 1334.35300
Wadati, Miki; Sawada, Katuro
1980
Statistics of energy transfer in high-resolution direct numerical simulation of turbulence in a periodic box. Zbl 1090.76034
Aoyama, Tomohiro; Ishihara, Takashi; Kaneda, Yukio; Yokokawa, Mitsuo; Itakura, Ken’ichi; Uno, Atsuya
2005
On the role of the convection term in the equations of motion of incompressible fluid. Zbl 1083.76007
Okamoto, Hisashi; Ohkitani, Koji
2005
The KdV equation and motion of plane curves. Zbl 1058.37052
Chou, Kai-Seng; Qu, Changzheng
2001
Identification of tubular vortices in turbulence. Zbl 0967.76544
Miura, Hideaki; Kida, Shigeo
1997
A new Hamiltonian amplitude equation governing modulated wave instabilities. Zbl 1112.35354
Wadati, Miki; Segur, H.; Ablowitz, M. J.
1992
Exactly solvable models and new link polynomials. IV: IRF models. Zbl 0719.57006
Akutsu, Yasuhiro; Deguchi, Tetsuo; Wadati, Miki
1988
Construction of Bäcklund transformations with binary Bell polynomials. Zbl 0947.37052
Lambert, Franklin; Springael, Johan
1997
Interface dynamics for bacterial colony formation. Zbl 0961.92005
Kitsunezaki, So
1997
Finite dimensional Hamiltonians and almost-periodic solutions for $$2+1$$ dimensional three-wave equations. Zbl 1058.37051
Zhou, Zixiang
2002
New matrix Lax representation for a Blaszak-Marciniak four-field lattice hierarchy and its infinitely many conservation laws. Zbl 1058.37057
Zhu, Zuonong; Zhu, Zuoming; Wu, Xiaonan; Xue, Weimin
2002
Generalized Casorati determinant and positon-negaton-type solutions of the Toda lattice equation. Zbl 1053.37063
Maruno, Ken-ichi; Ma, Wen-Xiu; Oikawa, Masayuki
2004
Motion of curves in hyperboloid in the Minkowski space. Zbl 0947.53002
Nakayama, Kazuaki
1998
Eigenvalue distribution of random matrices at the spectrum edge. Zbl 0972.82543
Nagao, Taro; Wadati, Miki
1993
Colored vertex models, colored IRF models and invariants of trivalent colored graphs. Zbl 0972.82522
Deguchi, Tetsuo; Akutsu, Yasuhiro
1993
Motion of curves in the plane. Zbl 0972.53501
Nakayama, Kazuaki; Wadati, Miki
1993
Integrability of Calogero-Moser spin system. Zbl 0972.81525
Hikami, Kazuhiro; Wadati, Miki
1993
Soliton-like solution of an extended NLS equation existing in resonance with linear dispersive waves. Zbl 0970.35137
Fujioka, Jorge; Espinosa, Aurea
1997
Effects of a fluid with variable viscosity and an endoscope on peristaltic motion. Zbl 1067.76036
El Misery, A. M.; El Hakeem, Abd; El Naby, Abd; El Nagar, Abd Hameed
2003
Exact solution of the $$n$$-dimensional sine-Gordon equation. Zbl 1334.35284
Kobayashi, Kenji K.; Izutsu, Masaaki
1976
Exact solutions of the derivative nonlinear Schrödinger equation under the nonvanishing conditions. Zbl 1334.35025
Kawata, Tutomu; Inoue, Hiroshi
1978
Deformation of solitons in random media. Zbl 0737.35088
Wadati, Miki
1990
Exact solutions for the nonisospectral Kadomtshev-Petviashvili equation. Zbl 1084.35536
Deng, Shufang; Zhang, Dajun; Chen, Dengyuan
2005
Loop soliton solutions of string interacting with external field. Zbl 0944.81025
Kakuhata, Hiroshi; Konno, Kimiaki
1999
Ultradiscrete KdV equation. Zbl 0948.39008
Tsujimoto, Satoshi; Hirota, Ryogo
1998
Conserved quantities of “random-time Toda equation”. Zbl 0942.82014
Hirota, Ryogo
1997
Lagrangian, Hamiltonian and conserved quantities for coupled integrable, dispersionless equations. Zbl 0944.35099
Kakuhata, Hiroshi; Konno, Kimiaki
1996
Hydrodynamic foundation and Painlevé analysis of Hirota-Satsuma type equations. Zbl 0972.35514
Espinosa, Aurea; Fujioka, Jorge
1994
Entanglement entropy of one-dimensional gapped spin chains. Zbl 1223.82015
Hirano, Takaaki; Hatsugai, Yasuhiro
2007
Discretization of the new type of soliton equations. Zbl 1223.35276
Hirota, Ryogo; Ohta, Yasuhiro
2007
Convergence of quantum annealing with real-time Schrödinger dynamics. Zbl 1223.82044
Morita, Satoshi; Nishimori, Hidetoshi
2007
Casorati determinant form of dark soliton solutions of the discrete nonlinear Schrödinger equation. Zbl 1223.35269
Maruno, Ken-ichi; Ohta, Yasuhiro
2006
The elliptic equation mapping method and its application to stochastic Korteweg-de Vries equation. Zbl 1223.35282
Liu, Qing; Zhu, Jia-Min; Wu, Hong-Yu
2006
A supersymmetric Itô’s equation and its soliton solutions. Zbl 1223.35283
Lü, Shu-Qiang; Hu, Xing-Biao; Liu, Q. P.
2006
On the $$(2+1)$$-dimensional integrable inhomogeneous Heisenberg ferromagnet equation. Zbl 1223.81121
Zhang, Zhen-Huan; Deng, Ming; Zhao, Wei-Zhong; Wu, Ke
2006
Matrix integrals and several integrable differential-difference systems. Zbl 1223.37096
Hu, Xing-Biao; Zhao, Jun-Xiao; Li, Chun-Xia
2006
A hierarchy of new nonlinear differential-difference equations. Zbl 1223.34037
Geng, Xianguo; Dai, Huihui
2006
The short pulse equation is integrals. Zbl 1067.35115
Sakovich, Anton; Sakovich, Sergei
2005
Synchronization of chaotic fractional Chen system. Zbl 1080.34537
Deng, Weihua; Li, Changpin
2005
Parametric representation for the multisoliton solution of the Camassa-Holm equation. Zbl 1076.35102
Matsuno, Yoshimasa
2005
Statistics of energy transfer in high-resolution direct numerical simulation of turbulence in a periodic box. Zbl 1090.76034
Aoyama, Tomohiro; Ishihara, Takashi; Kaneda, Yukio; Yokokawa, Mitsuo; Itakura, Ken&rsquo;ichi; Uno, Atsuya
2005
On the role of the convection term in the equations of motion of incompressible fluid. Zbl 1083.76007
Okamoto, Hisashi; Ohkitani, Koji
2005
Exact solutions for the nonisospectral Kadomtshev-Petviashvili equation. Zbl 1084.35536
Deng, Shufang; Zhang, Dajun; Chen, Dengyuan
2005
Theory of electronic states and transport in carbon nanotubes. Zbl 1137.81414
Ando, Tsuneya
2005
Quantum dynamics of system strongly coupled to low-temperature colored noise bath: reduced hierarchy equations approach. Zbl 1089.82014
Ishizaki, Akihito; Tanimura, Yoshitaka
2005
Exact solutions with Jacobi elliptic functions of two nonlinear models for ion-acoustic plasma waves. Zbl 1076.35099
Khater, A. H.; Hassan, M. M.; Temsah, R. S.
2005
Numerical study of flows in a cylindrical container with rotating bottom and top flat free surface. Zbl 1187.76718
Iwatsu, Reima
2005
Exact analysis of $$\delta$$-function attractive fermions and repulsive bosons in one-dimension. Zbl 1072.82510
Iida, Toshiaki; Wadati, Miki
2005
Soliton pulse propagation in averaged dispersion-managed optical fiber system. Zbl 1076.78009
Mak, C. C.; Chow, K. W.; Nakkeeran, K.
2005
Effect of turbulence spreading on subcritical turbulence in inhomogeneous plasmas. Zbl 1130.76343
Itoh, K.; Itoh, S.-I.; Hahm, T. S.; Diamond, P. H.
2005
A new solitary wave solution for the new Hamiltonian amplitude equation. Zbl 1133.76011
Krishnan, E. V.; Peng, Yanze
2005
The WKI model of type II arises from motion of curves in $$E^3$$. Zbl 1087.37053
Qu, Chanzheng; Zhang, Dongbo
2005
Optical solitary waves in the generalized higher order nonlinear Schrödinger equation. Zbl 1070.35095
Ruan, Hang-yu; Li, Hui-jun
2005
Algebro-geometric solution to the modified Kadomtsev-Petviashvili equation. Zbl 1079.35089
Chen, Jinbing; Geng, Xianguo
2005
Kolmogorov spectrum of quantum turbulence. Zbl 1091.82019
Kobayashi, Michikazu; Tsubota, Makoto
2005
The unified form of Hojman’s conservation law and Lutzky’s conservation law. Zbl 1218.70008
Zhang, Hongbin; Chen, Liqun
2005
Quantum soliton solutions of quantum Zakharov equations for plasmas. Zbl 1081.82024
Yang, Qin; Dai, Chaoqing; Wang, Yueyue; Zhang, Jiefang
2005
On quartet superfluidity of fermionic atomic gas. Zbl 1072.82577
Kamei, Hidekazu; Miyake, Kazumasa
2005
Transition from steady to chaotic states of isothermal and non-isothermal flows through a curved rectangular duct. Zbl 1187.76714
Yanase, Shinichiro; Mondal, Rabindra Nath; Kaga, Yoshito; Yamamoto, Kyoji
2005
New vacuum of Bethe ansatz solutions in Thirring model. Zbl 1071.81520
Fujita, Takehisa; Hiramoto, Makoto; Homma, Takeshi; Takahashi, Hidenori
2005
Quantum spin pump in $$S=1/2$$ antiferromagnetic chains – holomonomy of phase operators in sine-Gordon theory. Zbl 1070.82010
Shindou, Ryuichi
2005
Correlations of observables in chaotic states of macroscopic quantum systems. Zbl 1088.81508
Sugita, Ayumu; Shimizu, Akira
2005
Conserving gapless mean-field theory for Bose-Einstein condensates. Zbl 1072.82524
Kita, Takafumi
2005
Ladder operation method by dressed special functions and the Gram-type soliton solutions of the $$2+1$$ dimensional finite Toda equation. Zbl 1073.37085
Nakamura, Akira
2005
Double beta decays and neutrino masses. Zbl 1082.81529
Ejiri, Hiroyasu
2005
Chaos synchronization of multi-delay feedback systems with multi-delay driving signal. Zbl 1330.37034
Hoang, Thang Manh; Minh, Do Toan; Nakagawa, Masahiro
2005
Kondo problems in Tomonaga-Luttinger liquids. Zbl 1071.82549
Furusaki, Akira
2005
The Kondo effect in non-equilibrium quantum dots: perturbative renormalization group. Zbl 1071.82054
Rosch, A.; Paaske, J.; Kroha, J.; Wölfle, P.
2005
Exact periodic and new solitary wave solutions to the generalization of integrable $$(2+1)$$-dimensional dispersive long wave equations. Zbl 1067.35079
Peng, Yan-ze
2005
Scattering of solitons and dark solitons by potential walls in the nonlinear Schrödinger equation. Zbl 1067.35114
Sakaguchi, Hidetsugu; Tamura, Mitsuaki
2005
Statistical mechanical approach to error exponents of lossy data compression. Zbl 1069.94009
Hosaka, Tadaaki; Kabashima, Yoshiyuki
2005
Numerical study of the formation of transverse dunes and linear dunes. Zbl 1329.76245
Zhang, Ruyan; Kan, Makiko; Kawamura, Tetuya
2005
Small deformation of a nearly circular lipid-raft in the stagnation flow. Zbl 1329.76414
Fujitani, Youhei
2005
Fundamental limits of efficacy of intercellular communication by diffusion. Zbl 1070.92017
Jabbarzadeh, Ehsan; Abrams, Cameron F.
2005
Fluctuation theorem and an extended Fokker-Planck equation. Zbl 1072.82025
Munakata, Toyonori
2005
Numerical simulations of vortex sheet evolution in stratified shear flow. Zbl 1146.76598
Sohn, Sung-Ik; Hwang, Woonjae
2005
Reynolds number dependences of velocity field and fluid mixing in partioned-pipe mixer. Zbl 1146.76652
Mizuno, Yoshinori; Funakoshi, Mitsuaki
2005
A new integrable equation and its hierarchy. Zbl 1088.37039
Konno, Kimiaki; Asai, Ryousuke; Kakuhata, Hiroshi
2005
$$N$$ soliton solution of integrable differential-difference equations. Zbl 1088.81053
Ito, Masashi; Konno, Kimiaki; Kakuhata, Hiroshi
2005
Replicated Bethe free energy: a variational principle behind survey propagation. Zbl 1078.82008
Kabashima, Yoshiyuki
2005
Analysis of ultradiscrete Hamiltonian systems with lattice polygons. Zbl 1090.37049
Iwao, Masataka
2005
Thermomagnetic power and figure of merit for spin-1/2 Heisenberg chain. Zbl 1091.82017
Furukawa, Shunsuke; Ideda, Dai; Sakai, Kazumitsu
2005
Crossover between local-moment magnetism and itinerant-electron magnetism in the $$t$$-$$J$$ model. Zbl 1091.82018
Ohkawa, Fusayoshi J.
2005
Quantum event-error detection codes. Zbl 1086.81020
Guo, Ying; Zeng, Guihua
2005
Strong resonance of light in a Cantor set. Zbl 1086.81084
Hatano, Naomichi
2005
On the geometric equivalence of the discrete integrable modified Heisenberg ferromagnet model. Zbl 1128.82306
Yu, Fengling; Bi, Yanhui; Zhai, Ying; Zhao, Weizhong; Wu, Ke
2005
Matter-wave solitons in an $$F=1$$ spinor Bose-Einstein condensate. Zbl 1067.82004
Ieda, Jun&rsquo;ichi; Miyakawa, Takahiko; Wadati, Miki
2004
Magnetic fluid model induced by peristaltic waves. Zbl 1059.92020
Siddiqui, A. M.; Hayat, T.; Khan, Masood
2004
Generalized Casorati determinant and positon-negaton-type solutions of the Toda lattice equation. Zbl 1053.37063
Maruno, Ken-ichi; Ma, Wen-Xiu; Oikawa, Masayuki
2004
Pfaffianization of the differential-difference KP equation. Zbl 1057.37062
Zhao, Junxiao; Li, Chunxia; Hu, Xingbiao
2004
Noncommutative KP hierarchy and Hirota triple-product relations. Zbl 1134.37360
Wang, Ning; Wadati, Miki
2004
Optical solitary wave solutions to nonlinear Schrödinger equation with cubic-quintic nonlinearity in non-Kerr media. Zbl 1065.81143
Yan, Zhenya
2004
Evaluation of dynamic spin structure factor for the Spin-1/2 $$XXZ$$ chain in a magnetic field. Zbl 1067.82012
Sato, Jun; Shiroishi, Masahiro; Takahashi, Minoru
2004
Numerical study of three-dimensional photonic crystals with large band gaps. Zbl 1120.82309
Chern, R. L.; Chang, C. Chung; Chang, Chien C.; Hwang, R. R.
2004
Fractal dromion, fractal lump, and multiple peakon excitations in a $$(2+1)$$-dimensional Broer-Kaup equations. Zbl 1064.35161
Bai, Chenglin
2004
Quasi-continuum approximation for discrete breathers in Fermi-Pasta-Ulam atomic chains. Zbl 1071.82006
Feng, Bao-Feng; Doi, Yusuke; Kawahara, Takuji
2004
Singular dynamics with application to singular waves in physical problems. Zbl 1063.37020
Dai, Hui-Hui; Huang, Debin; Liu, Zengrong
2004
Semifolded localized coherent structures in general $$(2+1)$$-dimensional Korteweg-de Vries system. Zbl 1075.35555
Zheng, Chunlong; Chen, Liqun
2004
A hierarchy of coupled Korteweg–de Vries equations and the corresponding finite-dimensional integrable system. Zbl 1057.37060
Li, Chunxia
2004
Next nearest-neighbor correlation functions of the spin-1/2 $$XXZ$$ chain at massive region. Zbl 1071.82517
Takahashi, Minoru; Kato, Go; Shiroishi, Masahiro
2004
New representations of multiperiodic and multisoliton solutions for a class of nonlocal soliton equations. Zbl 1066.35103
Matsuno, Yoshimasa
2004
Dynamical properties of a two-level atom in three variants of the two-photon $$q$$-deformed Jaynes-Cummings model. Zbl 1065.81629
Naderi, M. H.; Soltanokotabi, M.; Roknizadeh, R.
2004
Landau theory of dynamic phase transitions and systematic perturbation expansion method for getting phase diagrams. Zbl 1092.82030
Tutu, Hiroki; Fujiwara, Naoya
2004
Investigation of transition frequencies of two acoustically coupled bubbles using a direct numerical simulation technique. Zbl 1082.76089
Ida, Masato
2004
On the similarity solutions of the inhomogeneous nonlinear diffusion equation via symmetry method. Zbl 1094.76057
Khater, A. H.; Malfliet, W.; Callebaut, D. K.; Abdul-Aziz, S. F.
2004
Non-Gaussian velocity distribution function in a vibrating granular bed. Zbl 1156.76459
Kawarada, Atsushi; Hayakawa, Hisao
2004
Collective traffic-like movement of ants on a trail: dynamical phases and phase transition. Zbl 1067.90019
Kunwar, Ambarish; John, Alexander; Nishinari, Katsuhiro; Schadschneider, Andreas; Chowdhury, Debashish
2004
Two-dimensional interaction of solitary waves in a modified Kadomtsev-Petviashvili equation. Zbl 1066.35089
Tsuji, Hidekazu; Oikawa, Masayuki
2004
Differential equations for creating complex cellular automaton pattern. Zbl 1156.81347
Kunishima, Wataru; Nishiyama, Akinobu; Tanaka, Hiroshi; Tokihiro, Tetsuji
2004
Liquid-gas phase transitions studied by multibaric-multithermal Monte Carlo simulations. Zbl 1075.82521
Okumura, Hisashi; Okamoto, Yuko
2004
Unified scaling theory for local and non-local transfers in generalized two-dimensional turbulence. Zbl 1076.76529
Watanabe, Takeshi; Iwayama, Takahiro
2004
Bose-Einstein condensation of magnons in TiCuCl$$_3$$: phase diagram and specific heat from a self-consistent Hartree-Fock calculation with a realistic dispersion relation. Zbl 1075.82504
Misguich, Grégoire; Oshikawa, Masaki
2004
A class of periodic solutions of $$2 + 1$$-dimensional Boussinesq equation. Zbl 1082.35138
Zhang, Jiefang; Lai, Xianjing
2004
Moyal deformation of KdV and Virasoro action. Zbl 1065.81070
Guha, Partha
2004
Ladder operator approach of special functions for $$1+1d$$ discrete systems and the $$N$$-soliton solutions of the quotient-difference equation. Zbl 1074.39020
Nakamura, Akira
2004
Brownian motion of a particle of general shape in Newtonian fluid. Zbl 1082.76103
Makino, Masato; Doi, Masao
2004
Order $$N$$ Monte Carlo algorithm for fermion systems coupled with fluctuating adiabatical fields. Zbl 1113.82306
Furukawa, Nobuo; Motome, Yukitoshi
2004
Exact solutions of domain wall and spiral ground states in Hubbard models. Zbl 1120.82312
Homma, Makoto; Itoi, Chigak
2004
Stochastic processes having fractional order nonlinearity associated with hyper Gamma distribution. Zbl 1056.60100
Konno, Hidetoshi; Lomdahl, Peter S.
2004
Quantum fluctuation-induced phase transition in $$S=1/2$$ XY-like Heisenberg antiferromagnets on the triangular lattice. Zbl 1134.82316
Yoshikawa, Shin-ichiro; Okunishi, Kouichi; Senda, Makoto; Miyashita, Seiji
2004
Dynamic scaling of the growing rough surfaces. Zbl 1060.92015
Kobayashi, Naoki; Moriyama, Osamu; Kitsunezaki, So; Yamazaki, Yoshihiro; Matsushita, Mitsugu
2004
Improved generalized scattering matrix method: conduction through ballistic nanowires. Zbl 1156.81471
Torres, J. A.; Sáenz, J. J.
2004
Multipolar moments in Pr-based filled-skutterudite compounds with singlet-triplet crystal-field levels. Zbl 1071.82565
Shiina, Ryousuke
2004
Real space renormalization group study of the $$S=1/2$$ $$XXZ$$ chains with Fibonacci exchange modulation. Zbl 1071.82026
Hida, Kazuo
2004
Multi-component generalizations of four integrable differential-difference equations: soliton solutions and bilinear Bäcklund transformations. Zbl 1066.35104
Zhao, Jun-Xiao; Hu, Xing-Biao; Hirota, Ryogo
2004
The Laplacian spectra of small-world networks. Zbl 1077.94530
Mori, Fumito; Odagaki, Takashi
2004
Spontaneous symmetry breaking by local or partial fields. Zbl 1065.81075
Suzuki, Masuo; Suzuki, Hidenori
2004
Dynamical state transition by neuromodulation due to acetylcholine in neural network model for oscillatory phenomena in thalamus. Zbl 1059.92011
Omori, Toshiaki; Horiguchi, Tsuyoshi
2004
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### Cited by 4,707 Authors

 86 Wazwaz, Abdul-Majid Abdul-Rahman 70 Ma, Wen-Xiu 60 Geng, Xianguo 48 Tian, Bo 41 Fan, Engui 37 Zhang, Dajun 35 Hu, Xingbiao 33 He, Jingsong 28 Zhang, Hongqing 28 Zhang, Yufeng 25 Gao, Yitian 24 Guo, Boling 22 Feng, Baofeng 22 Tian, Shoufu 21 Xue, Bo 20 Wadati, Miki 19 van de Leur, Johan W. 19 Xu, Xixiang 18 Lü, Xing 18 Ohta, Yasuhiro 18 Yang, Hongwei 17 Ablowitz, Mark Jay 17 Zhang, Weiguo 16 Chen, Yong 16 Hayat, Tasawar 16 Kudryashov, Nikolaĭ Alekseevich 16 Ponce, Gustavo 16 Shen, Shoufeng 16 Yu, Guofu 15 Chen, Dengyuan 15 Grimshaw, Roger Hamilton James 15 Xu, Tao 15 Yan, Zhenya 15 Zeng, Yunbo 15 Zhang, Yi 15 Zhang, Yingnan 14 Grammaticos, Basil 14 Ramani, Alfred 14 Wang, Pan 14 Yu, Fajun 14 Yu, Xin 14 Zhang, Haiqiang 13 Dong, Huanhe 13 Malomed, Boris A. 13 Pelinovsky, Dmitry Efimovich 13 Satsuma, Junkichi 13 Yin, Zhaoyang 12 Aoki, Kazuo 12 Bekir, Ahmet 12 Biswas, Anjan 12 Li, Chunxia 12 Meng, Xianghua 12 Qiao, Zhijun 12 Suris, Yuri Borisovich 12 Tam, Honwah 12 Xia, Tie-Cheng 12 Yang, Hongxiang 11 Ali, Nasir 11 Coclite, Giuseppe Maria 11 Di Ruvo, Lorenzo 11 Doliwa, Adam 11 Linares, Felipe 11 Wang, Dengshan 11 Zabrodin, Anton V. 11 Zhu, Zuonong 10 Cheng, Jipeng 10 Dai, Chaoqing 10 Jiang, Yan 10 Khalique, Chaudry Masood 10 Li, Jibin 10 Liu, Wenjun J. 10 Maruno, Kenichi 10 Mejjaoli, Hatem 10 Nakamura, Yoshimasa 10 Qu, Changzheng 10 Santini, Paolo Maria 10 Sun, Yepeng 10 Sun, Zhiyuan 10 Wang, Lei 10 Wen, Xiaoyong 10 Yan, Zhaowen 10 Zhao, Junxiao 10 Zhao, Songlin 9 Anco, Stephen C. 9 Chen, Junchao 9 Dai, Zhengde 9 Demiray, Hilmi 9 Fokas, Athanassios S. 9 Gegenhasi 9 Guha, Partha 9 Hon, Yiu-Chung 9 Iwasaki, Masashi 9 Kac, Victor G. 9 Li, Biao 9 Li, Chuanzhong 9 Liu, Zhengrong 9 Mañas, Manuel 9 Pogrebkov, Andrei K. 9 Prinari, Barbara 9 Qiu, Deqin ...and 4,607 more Authors
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### Cited in 441 Journals

 369 Journal of Mathematical Physics 225 Applied Mathematics and Computation 172 Chaos, Solitons and Fractals 104 Journal of Fluid Mechanics 104 Physica D 96 Communications in Nonlinear Science and Numerical Simulation 90 Theoretical and Mathematical Physics 84 Journal of Mathematical Analysis and Applications 75 Communications in Mathematical Physics 75 Nonlinear Dynamics 72 Journal of Nonlinear Mathematical Physics 65 International Journal of Modern Physics B 61 Studies in Applied Mathematics 57 Physics of Fluids 56 Letters in Mathematical Physics 55 Wave Motion 52 Journal of Geometry and Physics 51 Applied Mathematics Letters 49 Journal of Statistical Physics 45 Journal of Differential Equations 42 Computers & Mathematics with Applications 42 Journal of Physics A: Mathematical and Theoretical 40 Modern Physics Letters B 40 Physics Letters. A 40 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 38 Nuclear Physics. B 37 Chaos 30 Journal of Computational Physics 28 Journal of Computational and Applied Mathematics 27 International Journal of Theoretical Physics 27 Acta Applicandae Mathematicae 27 Journal of Statistical Mechanics: Theory and Experiment 25 Mathematical Problems in Engineering 25 Advances in Mathematical Physics 23 Astrophysics and Space Science 23 Journal of Nonlinear Science 23 Journal of High Energy Physics 23 Advances in Difference Equations 22 ZAMP. Zeitschrift für angewandte Mathematik und Physik 21 Reports on Mathematical Physics 21 Waves in Random and Complex Media 20 Acta Mechanica 20 Mathematical Methods in the Applied Sciences 20 International Journal of Computer Mathematics 19 Acta Mathematicae Applicatae Sinica. English Series 18 Applicable Analysis 18 Advances in Mathematics 18 Mathematics and Computers in Simulation 18 Abstract and Applied Analysis 18 Communications in Theoretical Physics 17 Nonlinear Analysis. Real World Applications 16 Fluid Dynamics 16 International Journal of Modern Physics C 16 Journal of Applied Mathematics 15 Physica A 15 Analysis and Mathematical Physics 14 International Journal of Modern Physics A 14 Mathematical and Computer Modelling 14 Journal of Mathematical Sciences (New York) 13 Nonlinearity 13 Physics Reports 13 Transactions of the American Mathematical Society 13 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 13 Discrete and Continuous Dynamical Systems 13 European Journal of Mechanics. B. Fluids 12 Computers and Fluids 12 Reviews in Mathematical Physics 12 Meccanica 12 Applied Mathematics and Mechanics. (English Edition) 12 Journal of Shanghai University 12 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 11 Modern Physics Letters A 11 Physics of Fluids, A 11 Applied Mathematical Modelling 11 Journal of Knot Theory and its Ramifications 11 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 11 International Journal of Geometric Methods in Modern Physics 11 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 10 Reviews of Modern Physics 10 Czechoslovak Mathematical Journal 10 Journal of Functional Analysis 10 Publications of the Research Institute for Mathematical Sciences, Kyoto University 10 New Journal of Physics 9 Chinese Annals of Mathematics. Series B 9 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 9 Regular and Chaotic Dynamics 9 International Journal of Nonlinear Sciences and Numerical Simulation 9 Journal of Modern Optics 9 Physical Review, II. Series 9 Science China. Mathematics 8 Archive for Rational Mechanics and Analysis 8 International Journal of Engineering Science 8 Journal of Engineering Mathematics 8 Functional Analysis and its Applications 8 Discrete Dynamics in Nature and Society 8 Physical Review Letters 8 Discrete and Continuous Dynamical Systems. Series B 8 Communications on Pure and Applied Analysis 8 Frontiers of Mathematics in China 7 Physics Letters. B ...and 341 more Journals
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### Cited in 61 Fields

 2,307 Partial differential equations (35-XX) 1,423 Dynamical systems and ergodic theory (37-XX) 718 Fluid mechanics (76-XX) 435 Quantum theory (81-XX) 425 Statistical mechanics, structure of matter (82-XX) 316 Numerical analysis (65-XX) 172 Ordinary differential equations (34-XX) 166 Nonassociative rings and algebras (17-XX) 155 Difference and functional equations (39-XX) 128 Optics, electromagnetic theory (78-XX) 92 Differential geometry (53-XX) 91 Algebraic geometry (14-XX) 87 Probability theory and stochastic processes (60-XX) 82 Special functions (33-XX) 75 Mechanics of deformable solids (74-XX) 73 Computer science (68-XX) 73 Mechanics of particles and systems (70-XX) 63 Global analysis, analysis on manifolds (58-XX) 60 Linear and multilinear algebra; matrix theory (15-XX) 58 Biology and other natural sciences (92-XX) 53 Combinatorics (05-XX) 51 Operator theory (47-XX) 48 Manifolds and cell complexes (57-XX) 36 Relativity and gravitational theory (83-XX) 35 Associative rings and algebras (16-XX) 35 Harmonic analysis on Euclidean spaces (42-XX) 35 Systems theory; control (93-XX) 33 Topological groups, Lie groups (22-XX) 33 Geophysics (86-XX) 32 Classical thermodynamics, heat transfer (80-XX) 29 Integral equations (45-XX) 29 Functional analysis (46-XX) 28 Functions of a complex variable (30-XX) 26 Information and communication theory, circuits (94-XX) 25 Real functions (26-XX) 25 Integral transforms, operational calculus (44-XX) 24 Group theory and generalizations (20-XX) 24 Statistics (62-XX) 22 Approximations and expansions (41-XX) 20 Calculus of variations and optimal control; optimization (49-XX) 13 Number theory (11-XX) 12 Astronomy and astrophysics (85-XX) 12 Operations research, mathematical programming (90-XX) 11 Several complex variables and analytic spaces (32-XX) 10 Geometry (51-XX) 8 Commutative algebra (13-XX) 8 Measure and integration (28-XX) 8 Convex and discrete geometry (52-XX) 7 Potential theory (31-XX) 6 Abstract harmonic analysis (43-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 General and overarching topics; collections (00-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 2 History and biography (01-XX) 2 Field theory and polynomials (12-XX) 2 Category theory; homological algebra (18-XX) 2 $$K$$-theory (19-XX) 2 Algebraic topology (55-XX) 1 Mathematical logic and foundations (03-XX) 1 Sequences, series, summability (40-XX) 1 General topology (54-XX)