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Author ID: kaup.david-j Recent zbMATH articles by "Kaup, David J."
Published as: Kaup, D. J.; Kaup, David J.; Kaup, David; Kaup, D.
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Publications by Year

Citations contained in zbMATH Open

78 Publications have been cited 2,124 times in 1,727 Documents Cited by Year
The inverse scattering transform-Fourier analysis for nonlinear problems. Zbl 0408.35068
Ablowitz, Mark J.; Kaup, David J.; Newell, Alan C.; Segur, Harvey
702
1974
An exact solution for a derivative nonlinear Schrödinger equation. Zbl 0383.35015
Kaup, David J.; Newell, Alan C.
309
1978
Nonlinear-evolution equations of physical significance. Zbl 1243.35143
Ablowitz, Mark J.; Kaup, David J.; Newell, Alan C.; Segur, Harvey
212
1973
A higher-order water-wave equation and the method for solving it. Zbl 1079.37514
Kaup, D. J.
153
1975
On the inverse scattering problem for cubic eigenvalue problems of the class \(\Psi_{xxx}+6Q\Psi_x+6R\Psi=\lambda\Psi\). Zbl 0431.35073
Kaup, D. J.
98
1980
Closure of the squared Zakharov-Shabat eigenstates. Zbl 0333.34020
Kaup, D. J.
54
1976
The lump solutions and the Bäcklund transformation for the three- dimensional three-wave resonant interaction. Zbl 0467.35070
Kaup, D. J.
52
1981
A perturbation expansion for the Zakharov-Shabat inverse scattering transform. Zbl 0334.47006
Kaup, D. J.
51
1976
A Bäcklund transformation for a higher order Korteweg-de Vries equation. Zbl 1334.81041
Satsuma, Junkichi; Kaup, David J.
46
1977
Embedded solitons: Solitary waves in resonance with the linear spectrum. Zbl 0976.35087
Champneys, A. R.; Malomed, B. A.; Yang, J.; Kaup, D. J.
31
2001
Squared eigenfunctions for the Sasa-Satsuma equation. Zbl 1202.35275
Yang, Jianke; Kaup, D. J.
23
2009
Evolution equations, singular dispersion relations, and moving eigenvalues. Zbl 0399.35056
Kaup, David J.; Newell, Alan C.
22
1979
Stability and evolution of solitary waves in perturbed generalized nonlinear Schrödinger equations. Zbl 0982.35103
Yang, Jianke; Kaup, D. J.
21
2000
The inverse scattering solution for the full three dimensional three-wave resonant interaction. Zbl 1194.35372
Kaup, D. J.
18
1980
The inverse scattering transform for the Benjamin-Ono equation. Zbl 1136.34349
Kaup, D. J.; Matsuno, Y.
18
1998
Finding eigenvalue problems for solving nonlinear evolution equations. Zbl 1079.37509
Kaup, D. J.
17
1975
Variational solutions for the discrete nonlinear Schrödinger equation. Zbl 1073.65100
Kaup, D. J.
17
2005
Method for solving the Sine-Gordon equation in laboratory coordinates. Zbl 0301.35075
Kaup, D. J.
16
1975
The Estabrook-Wahlquist method with examples of application. Zbl 1194.35413
Kaup, D. J.
13
1980
Direct and inverse scattering problem associated with the elliptic sinh- Gordon equation. Zbl 0737.35101
Jaworski, M.; Kaup, D.
12
1990
The squared eigenfunctions of the massive Thirring model in laboratory coordinates. Zbl 0861.35090
Kaup, D. J.; Lakoba, T. I.
12
1996
Embedded solitons: A new type of solitary wave. Zbl 0976.35059
Yang, J.; Malomed, B. A.; Kaup, D. J.; Champneys, A. R.
11
2001
A method for solving the separable initial-value problem of the full three-dimensional three-wave interaction. Zbl 0451.35099
Kaup, D. J.
11
1980
The Goursat and Cauchy problems for the sine-Gordon equation. Zbl 0373.35047
Kaup, David J.; Newell, Alan C.
10
1978
Stability and quasi-equidistant propagation of NLS soliton trains. Zbl 0948.81658
Gerdjikov, V. S.; Evstatiev, E. G.; Kaup, D. J.; Diankov, G. L.; Uzunov, I. M.
10
1998
The inverse scattering transform and squared eigenfunctions for a degenerate \(3 \times 3\) operator. Zbl 1178.35382
Kaup, D. J.; Yang, Jianke
9
2009
Evolution of the scattering coefficients of the Camassa-Holm equation, for general initial data. Zbl 1145.37330
Kaup, D. J.
9
2006
Initial value problem of the linearized Benjamin-Ono equation and its applications. Zbl 0891.35141
Matsuno, Y.; Kaup, D. J.
9
1997
Simple harmonic generation: an exact method of solution. Zbl 0378.35060
Kaup, D. J.
8
1978
The variational principle for nonlinear waves in dissipative systems. Zbl 1194.35414
Kaup, D. J.; Malomed, B. A.
7
1995
Perturbation theory for the Benjamin-Ono equation. Zbl 0921.35129
Kaup, D. J.; Lakoba, T. I.; Matsuno, Y.
7
1999
Complete integrability of the Benjamin-Ono equation by means of action-angle variables. Zbl 0938.35159
Kaup, D. J.; Lakoba, T. I.; Matsuno, Y.
7
1998
The forced nonlinear Schrödinger equation. Zbl 0593.35077
Kaup, D. J.; Hansen, P. J.
6
1986
The squared eigenstates of the sine-Gordon eigenvalue problem. Zbl 0557.35109
Kaup, D. J.
6
1984
Quantitative measurement of variational approximations. Zbl 1197.49051
Kaup, D. J.; Vogel, T. K.
6
2007
Embedded solitons in Lagrangian and semi-Lagrangian systems. Zbl 1037.35065
Kaup, D. J.; Malomed, Boris A.
6
2003
The Lanchester \((n, l)\) problem. Zbl 1142.90443
Kaup, G. T.; Kaup, D. J.; Finkelstein, N. M.
6
2005
Quantization of bi-Hamiltonian systems. Zbl 0719.58018
Kaup, D. J.; Olver, Peter J.
6
1990
The solution of the general initial value problem for the full three dimensional three-wave resonant interaction. Zbl 1194.35449
Kaup, D. J.
5
1981
Variational principle for the Zakharov-Shabat equations. Zbl 0900.35390
Kaup, D. J.; Malomed, B. A.
5
1995
Linear stability of multiple internal solitary waves in fluids of great depth. Zbl 0962.35507
Matsuno, Y.; Kaup, D. J.
5
1997
Variational method: How it can generate false instabilities. Zbl 0862.35103
Kaup, D. J.; Lakoba, T. I.
5
1996
Linear stability of internal wave solitons in a deep stratified fluid. Zbl 0429.76019
Chen, H. H.; Kaup, D. J.
5
1980
The inverse scattering transform and squared eigenfunctions for the nondegenerate \(3 \times 3\) operator and its soliton structure. Zbl 1204.47011
Kaup, D. J.; van Gorder, Robert A.
4
2010
Forced integrable systems. Zbl 0558.35061
Kaup, D. J.
4
1984
Squared eigenfunctions and the perturbation theory for the nondegenerate \(N \times N\) operator: a general outline. Zbl 1202.81069
Kaup, D. J.; Van Gorder, Robert A.
4
2010
On classification of soliton solutions of multicomponent nonlinear evolution equations. Zbl 1143.37048
Gerdjikov, V. S.; Kaup, D. J.; Kostov, N. A.; Valchev, T. I.
4
2008
Recent results on second harmonic generation. Zbl 1044.35095
Kaup, D. J.; Steudel, H.
4
2003
A new class of exact solutions for coupled scalar field equations. Zbl 0744.35051
Rao, N. N.; Kaup, D. J.
3
1991
Creation of a soliton out of dissipation. Zbl 0608.35055
Kaup, D. J.
3
1986
Inverse scattering for an AKNS problem with rational reflection coefficients. Zbl 1154.35474
Steudel, H.; Kaup, D. J.
3
2008
Two-dimensional self-modulation of lower hybrid waves in inhomogeneous plasmas. Zbl 0409.76100
Leclert, G. P.; Karney, Charles F. F.; Bers, A.; Kaup, D. J.
3
1979
Two new aspects of the inverse scattering transform: 1) The elliptic sinh-Gordon equation, and 2) Growing solitons. Zbl 0825.35113
Kaup, D. J.
2
1990
Cavitons are solitons: An integrable ponderomotive system. Zbl 0663.76142
Kaup, D. J.
2
1988
Soliton dynamics in the presence of external forces. Zbl 0554.35114
Kaup, D. J.
2
1984
Variational principle for the Zakharov-Shabat equations. Zbl 1194.35415
Kaup, D. J.; Malomed, Boris A.
2
1995
How many types of soliton solutions do we know? Zbl 1101.35069
Gerdjikov, Vladimir S.; Kaup, David J.
2
2006
Inverse scattering method applied to degenerate two-photon propagation in the low-excitation limit. Zbl 0985.81141
Steudel, H.; Kaup, D. J.
2
2000
Inverse scattering transform on a finite interval. Zbl 0945.34068
Steudel, H.; Kaup, D. J.
2
1999
Nonlinear Schrödinger solitons in the forced Toda lattice. Zbl 0634.35081
Kaup, D. J.
2
1987
The third-order singular-perturbation expansion of the planar cold-fluid magnetron equations. Zbl 0675.76054
Kaup, D. J.; Thomas, Gary E.
2
1989
Time evolution of the scattering data for the forced Toda lattice. Zbl 0685.35101
Wycoff, D.; Kaup, D. J.
2
1989
A closed form solution of the one-dimensional Born-Green-Yvon equation for a hard-rod fluid. Zbl 0760.34053
Kaup, D. J.; Paine, Gregory H.
1
1992
Unstaggered-staggered solitons on one- and two-dimensional two-component discrete nonlinear Schrödinger lattices. Zbl 1453.82047
Van Gorder, Robert A.; Krause, Andrew L.; Malomed, Boris A.; Kaup, D. J.
1
2020
Exactly solvable 3D model of resonance energy transfer. Zbl 0998.47051
Kaup, D. J.; Rupasov, V. I.
1
1996
Nonlinear resonances and colliding spherical ion-acoustic solitons. Zbl 1194.35346
Kaup, D. J.
1
1981
Virtual solitons and the asymptotics of second harmonic generation. Zbl 0988.35160
Kaup, D. J.; Steudel, H.
1
2001
The legacy of the IST. Zbl 1127.37306
Kaup, David J.
1
2002
Integrable stimulated Raman scattering systems with damping. Zbl 0839.35128
Burtsev, S. P.; Kaup, D. J.
1
1994
Applications of the inverse scattering transform. II: the three-wave resonant interaction. Zbl 0397.35066
Kaup, D. J.
1
1978
Conservation laws of the Benjamin-Ono equation. Zbl 0439.76011
Chen, H. H.; Kaup, D. J.
1
1980
Determining the final profiles from the initial profiles for the full three-dimensional three-wave resonant interaction. Zbl 0467.35069
Kaup, D. J.
1
1980
Bose-Einstein condensates and multi-component NLS models on symmetric spaces of BD. I-type. Expansions over squared solutions. Zbl 1218.37100
Gerdjikov, V. S.; Kaup, D. J.; Kostov, N. A.; Valchev, T. I.
1
2011
Optical breathers in nonlinear anisotropic and dispersive media. Zbl 1244.81071
Adamashvili, G. T.; Kaup, David J.
1
2006
A modification of the variable phase method for optimum numerical calculation of phase shifts. Zbl 0243.65074
Kaup, David J.
1
1972
Forced integrable systems - An overview. Zbl 0587.58024
Kaup, D. J.
1
1986
Comments on the inverse scattering transform for the forced Toda lattice. Zbl 0634.35082
Kaup, D. J.; Hansen, P. J.
1
1987
The first-order perturbed SBS equations. Zbl 0790.35104
Kaup, D. J.
1
1993
Unstaggered-staggered solitons on one- and two-dimensional two-component discrete nonlinear Schrödinger lattices. Zbl 1453.82047
Van Gorder, Robert A.; Krause, Andrew L.; Malomed, Boris A.; Kaup, D. J.
1
2020
Bose-Einstein condensates and multi-component NLS models on symmetric spaces of BD. I-type. Expansions over squared solutions. Zbl 1218.37100
Gerdjikov, V. S.; Kaup, D. J.; Kostov, N. A.; Valchev, T. I.
1
2011
The inverse scattering transform and squared eigenfunctions for the nondegenerate \(3 \times 3\) operator and its soliton structure. Zbl 1204.47011
Kaup, D. J.; van Gorder, Robert A.
4
2010
Squared eigenfunctions and the perturbation theory for the nondegenerate \(N \times N\) operator: a general outline. Zbl 1202.81069
Kaup, D. J.; Van Gorder, Robert A.
4
2010
Squared eigenfunctions for the Sasa-Satsuma equation. Zbl 1202.35275
Yang, Jianke; Kaup, D. J.
23
2009
The inverse scattering transform and squared eigenfunctions for a degenerate \(3 \times 3\) operator. Zbl 1178.35382
Kaup, D. J.; Yang, Jianke
9
2009
On classification of soliton solutions of multicomponent nonlinear evolution equations. Zbl 1143.37048
Gerdjikov, V. S.; Kaup, D. J.; Kostov, N. A.; Valchev, T. I.
4
2008
Inverse scattering for an AKNS problem with rational reflection coefficients. Zbl 1154.35474
Steudel, H.; Kaup, D. J.
3
2008
Quantitative measurement of variational approximations. Zbl 1197.49051
Kaup, D. J.; Vogel, T. K.
6
2007
Evolution of the scattering coefficients of the Camassa-Holm equation, for general initial data. Zbl 1145.37330
Kaup, D. J.
9
2006
How many types of soliton solutions do we know? Zbl 1101.35069
Gerdjikov, Vladimir S.; Kaup, David J.
2
2006
Optical breathers in nonlinear anisotropic and dispersive media. Zbl 1244.81071
Adamashvili, G. T.; Kaup, David J.
1
2006
Variational solutions for the discrete nonlinear Schrödinger equation. Zbl 1073.65100
Kaup, D. J.
17
2005
The Lanchester \((n, l)\) problem. Zbl 1142.90443
Kaup, G. T.; Kaup, D. J.; Finkelstein, N. M.
6
2005
Embedded solitons in Lagrangian and semi-Lagrangian systems. Zbl 1037.35065
Kaup, D. J.; Malomed, Boris A.
6
2003
Recent results on second harmonic generation. Zbl 1044.35095
Kaup, D. J.; Steudel, H.
4
2003
The legacy of the IST. Zbl 1127.37306
Kaup, David J.
1
2002
Embedded solitons: Solitary waves in resonance with the linear spectrum. Zbl 0976.35087
Champneys, A. R.; Malomed, B. A.; Yang, J.; Kaup, D. J.
31
2001
Embedded solitons: A new type of solitary wave. Zbl 0976.35059
Yang, J.; Malomed, B. A.; Kaup, D. J.; Champneys, A. R.
11
2001
Virtual solitons and the asymptotics of second harmonic generation. Zbl 0988.35160
Kaup, D. J.; Steudel, H.
1
2001
Stability and evolution of solitary waves in perturbed generalized nonlinear Schrödinger equations. Zbl 0982.35103
Yang, Jianke; Kaup, D. J.
21
2000
Inverse scattering method applied to degenerate two-photon propagation in the low-excitation limit. Zbl 0985.81141
Steudel, H.; Kaup, D. J.
2
2000
Perturbation theory for the Benjamin-Ono equation. Zbl 0921.35129
Kaup, D. J.; Lakoba, T. I.; Matsuno, Y.
7
1999
Inverse scattering transform on a finite interval. Zbl 0945.34068
Steudel, H.; Kaup, D. J.
2
1999
The inverse scattering transform for the Benjamin-Ono equation. Zbl 1136.34349
Kaup, D. J.; Matsuno, Y.
18
1998
Stability and quasi-equidistant propagation of NLS soliton trains. Zbl 0948.81658
Gerdjikov, V. S.; Evstatiev, E. G.; Kaup, D. J.; Diankov, G. L.; Uzunov, I. M.
10
1998
Complete integrability of the Benjamin-Ono equation by means of action-angle variables. Zbl 0938.35159
Kaup, D. J.; Lakoba, T. I.; Matsuno, Y.
7
1998
Initial value problem of the linearized Benjamin-Ono equation and its applications. Zbl 0891.35141
Matsuno, Y.; Kaup, D. J.
9
1997
Linear stability of multiple internal solitary waves in fluids of great depth. Zbl 0962.35507
Matsuno, Y.; Kaup, D. J.
5
1997
The squared eigenfunctions of the massive Thirring model in laboratory coordinates. Zbl 0861.35090
Kaup, D. J.; Lakoba, T. I.
12
1996
Variational method: How it can generate false instabilities. Zbl 0862.35103
Kaup, D. J.; Lakoba, T. I.
5
1996
Exactly solvable 3D model of resonance energy transfer. Zbl 0998.47051
Kaup, D. J.; Rupasov, V. I.
1
1996
The variational principle for nonlinear waves in dissipative systems. Zbl 1194.35414
Kaup, D. J.; Malomed, B. A.
7
1995
Variational principle for the Zakharov-Shabat equations. Zbl 0900.35390
Kaup, D. J.; Malomed, B. A.
5
1995
Variational principle for the Zakharov-Shabat equations. Zbl 1194.35415
Kaup, D. J.; Malomed, Boris A.
2
1995
Integrable stimulated Raman scattering systems with damping. Zbl 0839.35128
Burtsev, S. P.; Kaup, D. J.
1
1994
The first-order perturbed SBS equations. Zbl 0790.35104
Kaup, D. J.
1
1993
A closed form solution of the one-dimensional Born-Green-Yvon equation for a hard-rod fluid. Zbl 0760.34053
Kaup, D. J.; Paine, Gregory H.
1
1992
A new class of exact solutions for coupled scalar field equations. Zbl 0744.35051
Rao, N. N.; Kaup, D. J.
3
1991
Direct and inverse scattering problem associated with the elliptic sinh- Gordon equation. Zbl 0737.35101
Jaworski, M.; Kaup, D.
12
1990
Quantization of bi-Hamiltonian systems. Zbl 0719.58018
Kaup, D. J.; Olver, Peter J.
6
1990
Two new aspects of the inverse scattering transform: 1) The elliptic sinh-Gordon equation, and 2) Growing solitons. Zbl 0825.35113
Kaup, D. J.
2
1990
The third-order singular-perturbation expansion of the planar cold-fluid magnetron equations. Zbl 0675.76054
Kaup, D. J.; Thomas, Gary E.
2
1989
Time evolution of the scattering data for the forced Toda lattice. Zbl 0685.35101
Wycoff, D.; Kaup, D. J.
2
1989
Cavitons are solitons: An integrable ponderomotive system. Zbl 0663.76142
Kaup, D. J.
2
1988
Nonlinear Schrödinger solitons in the forced Toda lattice. Zbl 0634.35081
Kaup, D. J.
2
1987
Comments on the inverse scattering transform for the forced Toda lattice. Zbl 0634.35082
Kaup, D. J.; Hansen, P. J.
1
1987
The forced nonlinear Schrödinger equation. Zbl 0593.35077
Kaup, D. J.; Hansen, P. J.
6
1986
Creation of a soliton out of dissipation. Zbl 0608.35055
Kaup, D. J.
3
1986
Forced integrable systems - An overview. Zbl 0587.58024
Kaup, D. J.
1
1986
The squared eigenstates of the sine-Gordon eigenvalue problem. Zbl 0557.35109
Kaup, D. J.
6
1984
Forced integrable systems. Zbl 0558.35061
Kaup, D. J.
4
1984
Soliton dynamics in the presence of external forces. Zbl 0554.35114
Kaup, D. J.
2
1984
The lump solutions and the Bäcklund transformation for the three- dimensional three-wave resonant interaction. Zbl 0467.35070
Kaup, D. J.
52
1981
The solution of the general initial value problem for the full three dimensional three-wave resonant interaction. Zbl 1194.35449
Kaup, D. J.
5
1981
Nonlinear resonances and colliding spherical ion-acoustic solitons. Zbl 1194.35346
Kaup, D. J.
1
1981
On the inverse scattering problem for cubic eigenvalue problems of the class \(\Psi_{xxx}+6Q\Psi_x+6R\Psi=\lambda\Psi\). Zbl 0431.35073
Kaup, D. J.
98
1980
The inverse scattering solution for the full three dimensional three-wave resonant interaction. Zbl 1194.35372
Kaup, D. J.
18
1980
The Estabrook-Wahlquist method with examples of application. Zbl 1194.35413
Kaup, D. J.
13
1980
A method for solving the separable initial-value problem of the full three-dimensional three-wave interaction. Zbl 0451.35099
Kaup, D. J.
11
1980
Linear stability of internal wave solitons in a deep stratified fluid. Zbl 0429.76019
Chen, H. H.; Kaup, D. J.
5
1980
Conservation laws of the Benjamin-Ono equation. Zbl 0439.76011
Chen, H. H.; Kaup, D. J.
1
1980
Determining the final profiles from the initial profiles for the full three-dimensional three-wave resonant interaction. Zbl 0467.35069
Kaup, D. J.
1
1980
Evolution equations, singular dispersion relations, and moving eigenvalues. Zbl 0399.35056
Kaup, David J.; Newell, Alan C.
22
1979
Two-dimensional self-modulation of lower hybrid waves in inhomogeneous plasmas. Zbl 0409.76100
Leclert, G. P.; Karney, Charles F. F.; Bers, A.; Kaup, D. J.
3
1979
An exact solution for a derivative nonlinear Schrödinger equation. Zbl 0383.35015
Kaup, David J.; Newell, Alan C.
309
1978
The Goursat and Cauchy problems for the sine-Gordon equation. Zbl 0373.35047
Kaup, David J.; Newell, Alan C.
10
1978
Simple harmonic generation: an exact method of solution. Zbl 0378.35060
Kaup, D. J.
8
1978
Applications of the inverse scattering transform. II: the three-wave resonant interaction. Zbl 0397.35066
Kaup, D. J.
1
1978
A Bäcklund transformation for a higher order Korteweg-de Vries equation. Zbl 1334.81041
Satsuma, Junkichi; Kaup, David J.
46
1977
Closure of the squared Zakharov-Shabat eigenstates. Zbl 0333.34020
Kaup, D. J.
54
1976
A perturbation expansion for the Zakharov-Shabat inverse scattering transform. Zbl 0334.47006
Kaup, D. J.
51
1976
A higher-order water-wave equation and the method for solving it. Zbl 1079.37514
Kaup, D. J.
153
1975
Finding eigenvalue problems for solving nonlinear evolution equations. Zbl 1079.37509
Kaup, D. J.
17
1975
Method for solving the Sine-Gordon equation in laboratory coordinates. Zbl 0301.35075
Kaup, D. J.
16
1975
The inverse scattering transform-Fourier analysis for nonlinear problems. Zbl 0408.35068
Ablowitz, Mark J.; Kaup, David J.; Newell, Alan C.; Segur, Harvey
702
1974
Nonlinear-evolution equations of physical significance. Zbl 1243.35143
Ablowitz, Mark J.; Kaup, David J.; Newell, Alan C.; Segur, Harvey
212
1973
A modification of the variable phase method for optimum numerical calculation of phase shifts. Zbl 0243.65074
Kaup, David J.
1
1972
all top 5

Cited by 1,809 Authors

83 Ma, Wen-Xiu
33 Ablowitz, Mark Jay
32 Gerdzhikov, Vladimir Stefanov
27 Fan, Engui
27 Tian, Bo
26 Kaup, David J.
23 Gao, Yitian
19 Geng, Xianguo
17 Pelinovsky, Dmitry Efimovich
16 Lü, Xing
16 Van der Mee, Cornelis Victor Maria
16 Zhang, Yufeng
15 Fokas, Athanassios S.
15 Ivanov, Rossen I.
15 Sakhnovich, Alexander L.
14 He, Jingsong
13 Biswas, Anjan
12 Malomed, Boris A.
12 Qiao, Zhijun
12 Segur, Harvey
12 Yu, Xin
11 Chen, Yong
11 Demontis, Francesco
11 Kudryashov, Nikolaĭ Alekseevich
11 Meng, Dexin
11 Shen, Shoufeng
11 Tenenblat, Keti
11 Wazwaz, Abdul-Majid Abdul-Rahman
11 Wen, Xiaoyong
11 Xu, Tao
11 Zhang, Hongqing
10 Guo, Boling
10 Sulem, Catherine
10 Vitanov, Nikolay K.
10 Wang, Lei
10 Yan, Zhenya
10 Zhang, Dajun
10 Zhang, Haiqiang
9 Caudrelier, Vincent
9 Dimitrova, Zlatinka I.
9 Ling, Liming
9 Tian, Shoufu
9 Yang, Jianke
9 Zeng, Yunbo
8 Beals, Richard W.
8 Hryniv, Rostyslav O.
8 Miller, Peter D.
8 Strampp, Walter
8 Xue, Bo
7 Chen, Dengyuan
7 Cheng, Yi
7 Choudhury, Sudipto Roy
7 Hou, Yu
7 Jiang, Yan
7 Kundu, Anjan
7 Lee, Jyhhao
7 Lenells, Jonatan
7 Luo, Xudan
7 Matveev, Vladimir B.
7 Parkes, E. John
7 Perry, Peter A.
7 Qi, Fenghua
7 Sun, Zhiyuan
6 Biondini, Gino
6 Chen, Shouting
6 Clarkson, Peter A.
6 Deconinck, Bernard
6 Deift, Percy A.
6 Gai, Xiaoling
6 Gordoa, Pilar Ruiz
6 Guha, Partha
6 Huang, Nianning
6 Kulish, Petr Petrovich
6 Lakoba, Taras I.
6 Liu, Jiaqi
6 Liu, Wenjun J.
6 Lou, Senyue
6 Luo, Lin
6 Meng, Xianghua
6 Pashaev, Oktay K.
6 Pickering, Andrew
6 Qu, Changzheng
6 Rogers, Colin
6 Sahadevan, Ramajayam
6 Santini, Paolo Maria
6 Smirnov, Alexander O.
6 Todorov, Michail D.
6 Vakhnenko, Vyacheslav O.
6 Zhou, Xin
5 Aktosun, Tuncay
5 Boiti, Marco
5 Buckingham, Robert J.
5 Cai, Hao
5 Chen, Jinbing
5 Conte, Robert Maurice
5 Feng, Baofeng
5 Fuchssteiner, Benno
5 Grahovski, Georgi G.
5 Guo, Rui
5 Gürses, Metin
...and 1,709 more Authors
all top 5

Cited in 236 Serials

279 Journal of Mathematical Physics
86 Physica D
76 Applied Mathematics and Computation
65 Studies in Applied Mathematics
53 Theoretical and Mathematical Physics
48 Communications in Nonlinear Science and Numerical Simulation
42 Chaos, Solitons and Fractals
40 Nonlinear Dynamics
39 Applied Mathematics Letters
35 Journal of Mathematical Analysis and Applications
33 Communications in Mathematical Physics
33 Journal of Differential Equations
32 Journal of Nonlinear Mathematical Physics
28 Wave Motion
26 Letters in Mathematical Physics
25 Journal of Geometry and Physics
25 Chaos
17 Computers & Mathematics with Applications
17 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
17 Journal of Nonlinear Science
14 International Journal of Theoretical Physics
14 Advances in Difference Equations
14 Advances in Mathematical Physics
13 Communications on Pure and Applied Mathematics
13 Physics Letters. A
13 Acta Applicandae Mathematicae
12 Journal of Soviet Mathematics
12 Analysis and Mathematical Physics
11 International Journal of Modern Physics B
11 Mathematical Methods in the Applied Sciences
11 Mathematics and Computers in Simulation
10 Reports on Mathematical Physics
10 Journal of Physics A: Mathematical and Theoretical
9 Applicable Analysis
9 Journal of Fluid Mechanics
9 Nonlinearity
9 Communications in Partial Differential Equations
9 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
9 Discrete and Continuous Dynamical Systems
9 International Journal of Geometric Methods in Modern Physics
8 ZAMP. Zeitschrift für angewandte Mathematik und Physik
8 Waves in Random and Complex Media
7 Physics of Fluids
7 Reviews in Mathematical Physics
7 Functional Analysis and its Applications
7 Transactions of the American Mathematical Society
7 Acta Mathematicae Applicatae Sinica. English Series
7 Journal of Mathematical Sciences (New York)
7 Mathematical Physics, Analysis and Geometry
7 Journal of High Energy Physics
7 Nonlinear Analysis. Real World Applications
7 Frontiers of Mathematics in China
6 Journal of Computational Physics
6 Journal of Computational and Applied Mathematics
6 Applied Mathematics and Mechanics. (English Edition)
6 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
6 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
6 Physical Review Letters
6 Discrete and Continuous Dynamical Systems. Series S
5 Physica A
5 Advances in Mathematics
5 Integral Equations and Operator Theory
5 Chinese Annals of Mathematics. Series B
5 SIAM Journal on Mathematical Analysis
5 Complexity
5 Mathematical Problems in Engineering
5 Wuhan University Journal of Natural Sciences (WUJNS)
5 Acta Mathematica Sinica. English Series
5 Ufimskiĭ Matematicheskiĭ Zhurnal
4 Modern Physics Letters B
4 International Journal of Modern Physics A
4 Nuclear Physics. B
4 Monatshefte für Mathematik
4 Proceedings of the American Mathematical Society
4 Quarterly of Applied Mathematics
4 Mathematical and Computer Modelling
4 Abstract and Applied Analysis
4 European Journal of Mechanics. B. Fluids
4 Regular and Chaotic Dynamics
4 Journal of Modern Optics
4 Acta Mathematica Scientia. Series B. (English Edition)
4 Analysis and Applications (Singapore)
4 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
4 Communications in Theoretical Physics
4 East Asian Journal on Applied Mathematics
4 International Journal of Applied and Computational Mathematics
4 AIMS Mathematics
3 Archive for Rational Mechanics and Analysis
3 Journal d’Analyse Mathématique
3 Ukrainian Mathematical Journal
3 Mathematische Annalen
3 Mathematische Zeitschrift
3 Computational Mathematics and Mathematical Physics
3 Bulletin of the American Mathematical Society. New Series
3 Annales de l’Institut Henri Poincaré. Physique Théorique
3 Journal of Dynamics and Differential Equations
3 Computational and Applied Mathematics
3 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
3 Discrete Dynamics in Nature and Society
3 International Journal of Modern Physics C
...and 136 more Serials
all top 5

Cited in 50 Fields

1,367 Partial differential equations (35-XX)
811 Dynamical systems and ergodic theory (37-XX)
171 Quantum theory (81-XX)
169 Fluid mechanics (76-XX)
134 Ordinary differential equations (34-XX)
82 Optics, electromagnetic theory (78-XX)
68 Numerical analysis (65-XX)
65 Global analysis, analysis on manifolds (58-XX)
56 Differential geometry (53-XX)
53 Statistical mechanics, structure of matter (82-XX)
50 Operator theory (47-XX)
48 Nonassociative rings and algebras (17-XX)
42 Mechanics of particles and systems (70-XX)
40 Difference and functional equations (39-XX)
35 Computer science (68-XX)
28 Mechanics of deformable solids (74-XX)
22 Algebraic geometry (14-XX)
20 Integral equations (45-XX)
17 Topological groups, Lie groups (22-XX)
16 Relativity and gravitational theory (83-XX)
10 Harmonic analysis on Euclidean spaces (42-XX)
9 Linear and multilinear algebra; matrix theory (15-XX)
9 Approximations and expansions (41-XX)
8 Real functions (26-XX)
8 Several complex variables and analytic spaces (32-XX)
8 Special functions (33-XX)
7 Functions of a complex variable (30-XX)
6 Functional analysis (46-XX)
6 Geophysics (86-XX)
6 Biology and other natural sciences (92-XX)
6 Systems theory; control (93-XX)
4 Calculus of variations and optimal control; optimization (49-XX)
4 Probability theory and stochastic processes (60-XX)
4 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
3 Group theory and generalizations (20-XX)
3 Operations research, mathematical programming (90-XX)
2 General and overarching topics; collections (00-XX)
2 History and biography (01-XX)
2 Commutative algebra (13-XX)
2 Associative rings and algebras (16-XX)
2 Integral transforms, operational calculus (44-XX)
2 General topology (54-XX)
2 Astronomy and astrophysics (85-XX)
1 Combinatorics (05-XX)
1 Measure and integration (28-XX)
1 Sequences, series, summability (40-XX)
1 Manifolds and cell complexes (57-XX)
1 Statistics (62-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Information and communication theory, circuits (94-XX)

Citations by Year

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