X
Search Filters
Format Format
Format Format
X
Sort by Item Count (A-Z)
Filter by Count
Journal Article (1135) 1135
Publication (82) 82
Conference Proceeding (21) 21
Book Chapter (4) 4
Book / eBook (2) 2
Book Review (1) 1
Dissertation (1) 1
Government Document (1) 1
Paper (1) 1
more...
Subjects Subjects
Subjects Subjects
X
Sort by Item Count (A-Z)
Filter by Count
physics, multidisciplinary (324) 324
mathematics, applied (284) 284
solitons (234) 234
hirota bilinear method (213) 213
mathematical analysis (205) 205
physics, mathematical (197) 197
hirota method (170) 170
mechanics (147) 147
solitary waves (144) 144
symbolic computation (118) 118
backlund transformation (115) 115
mathematical models (114) 114
mathematics (105) 105
search (102) 102
nonlinear sciences (101) 101
soliton-solutions (100) 100
exactly solvable and integrable systems (98) 98
hirota 3-soliton condition (90) 90
physics (85) 85
transformations (81) 81
bilinear equations (78) 78
engineering, mechanical (77) 77
physics, condensed matter (73) 73
soliton (73) 73
engineering (71) 71
dynamics (70) 70
analysis (69) 69
hirota's method (69) 69
nonlinear schrodinger-equation (69) 69
mechanical engineering (68) 68
optics (66) 66
de-vries equation (65) 65
soliton solutions (65) 65
automotive engineering (64) 64
hirota equation (64) 64
system (64) 64
vibration, dynamical systems, control (64) 64
physics, applied (63) 63
nonlinear sciences - exactly solvable and integrable systems (62) 62
nonlinearity (60) 60
hirota's bilinear method (58) 58
mathematics, interdisciplinary applications (58) 58
propagation (57) 57
hirota (56) 56
kdv equation (56) 56
kp equation (56) 56
nonlinear equations (54) 54
pattern formation and solitons (52) 52
waves (51) 51
kadomtsev-petviashvili equation (49) 49
tanh-coth method (49) 49
classical mechanics (48) 48
integrability (48) 48
rational solutions (48) 48
rogue waves (46) 46
systems (46) 46
optical solitons (45) 45
wave solutions (45) 45
nichtlineare gleichung (44) 44
nonlinear evolution-equations (44) 44
soliton solution (44) 44
equation (43) 43
hierarchy (43) 43
mathematical physics (43) 43
multiple-soliton solutions (43) 43
bäcklund transformation (42) 42
collisions (42) 42
differential equations (42) 42
model (42) 42
schroedinger equation (41) 41
dispersion (40) 40
evolution-equations (40) 40
model-equations (40) 40
solitary wave solutions (40) 40
hirota’s bilinear method (39) 39
water waves (39) 39
welle (39) 39
computation (38) 38
physics, fluids & plasmas (38) 38
rogue wave (38) 38
nonlinear evolution equations (37) 37
transformation (36) 36
boussinesq equation (35) 35
equations (35) 35
evolution (35) 35
exact solutions (35) 35
conservation-laws (34) 34
hirota bilinear form (34) 34
lump solution (34) 34
multiple soliton solutions (34) 34
n-soliton solutions (34) 34
traveling-wave solutions (34) 34
fluid dynamics (33) 33
construction (31) 31
darboux transformation (31) 31
physics, general (31) 31
dark solitons (29) 29
front solutions (29) 29
applications of mathematics (28) 28
breathers (28) 28
more...
Library Location Library Location
Language Language
Publication Date Publication Date
Click on a bar to filter by decade
Slide to change publication date range


Applied Mathematics and Computation, ISSN 0096-3003, 08/2008, Volume 202, Issue 1, pp. 275 - 286
Journal Article
by Lu, Bin
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 11/2012, Volume 395, Issue 2, pp. 684 - 693
Journal Article
Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, 09/2014, Volume 47, Issue 36, pp. 365202 - 20
We present several novel examples of integrable quadratic vector fields for which Kahan's discretization method preserves integrability. Our examples include... 
Hamiltonian systems | geometric numerical integration | discrete integrable systems | DISCRETIZATION | PHYSICS, MULTIDISCIPLINARY | HIROTA-KIMURA TYPE | MAPPINGS | SYSTEMS | PHYSICS, MATHEMATICAL | ORDINARY DIFFERENTIAL-EQUATIONS | Integral calculus | Fields (mathematics) | Transformations (mathematics) | Discretization | Mathematical analysis | Preserves
Journal Article
Nonlinear Dynamics, ISSN 0924-090X, 06/2017, Volume 88, Issue 4, pp. 3017 - 3021
We study two (3\[+\]1)-dimensional generalized equations, namely the Kadomtsev–Petviashvili–Boussinesq equation and the B-type... 
Generalized KP equation | BKP equation | Boussinesq equation | Simplified Hirota’s method | Mathematical analysis | Solitary waves | Boussinesq equations
Journal Article
NONLINEAR DYNAMICS, ISSN 0924-090X, 06/2017, Volume 88, Issue 4, pp. 3017 - 3021
We study two (31)-dimensional generalized equations, namely the Kadomtsev-Petviashvili-Boussinesq equation and the B-type Kadomtsev-Petviashvili-Boussinesq... 
MECHANICS | Generalized KP equation | SOLITONS | Boussinesq equation | PARTIAL-DIFFERENTIAL-EQUATIONS | WAVE SOLUTIONS | BKP equation | Simplified Hirota's method | KADOMTSEV-PETVIASHVILI EQUATION | ENGINEERING, MECHANICAL
Journal Article
Applied Mathematics and Computation, ISSN 0096-3003, 07/2007, Volume 190, Issue 1, pp. 633 - 640
In this work we use the Hirota's direct method combined with the simplified version of this method to determine the N-soliton solutions, N = 1, 2, 3, 4, 5 for... 
Multiple-soliton solutions | Hirota's direct method | KP equation | Tanh-coth method | DE VRIES EQUATION | MATHEMATICS, APPLIED | SEARCH | multiple-soliton solutions | 3-SOLITON CONDITION | tanh-coth method | COLLISIONS
Journal Article
Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, 01/2013, Volume 46, Issue 2, pp. 25201 - 12
We show that Kahan's discretization of quadratic vector fields is equivalent to a Runge-Kutta method. When the vector field is Hamiltonian on either a... 
PHYSICS, MULTIDISCIPLINARY | PHYSICS, MATHEMATICAL | HIROTA-KIMURA TYPE | Equivalence | Discretization | Mathematical analysis | Constants | Runge-Kutta method | Fields (mathematics) | Vector spaces | Invariants | Three dimensional | Mathematics - Numerical Analysis
Journal Article
Superlattices and Microstructures, ISSN 0749-6036, 05/2017, Volume 105, pp. 172 - 182
Under investigation in this paper is the generalized coupled nonlinear Hirota (GCH) equations with addition effects by the Hirota method, which is better than... 
The generalized coupled nonlinear Hirota equations | Symbolic computation | Multi-soliton solution and breather | The Hirota method | PHYSICS, CONDENSED MATTER | INTEGRABILITY | SCHRODINGER-EQUATION | MODEL | BACKLUND TRANSFORMATION | FIBERS | WAVES | SOLITON-SOLUTIONS | LAX PAIR | DYNAMICS
Journal Article
Applied Mathematics Letters, ISSN 0893-9659, 08/2019, Volume 94, pp. 232 - 237
In this paper, traveling waves with different frequencies and velocities can be constructed by three wave method. Some new exact solitary and periodic solitary... 
Hiröta bilinear form | Three wave method | Periodic solitary solution | MATHEMATICS, APPLIED | SOLITON-SOLUTIONS | Hirota bilinear form | EXP-FUNCTION METHOD
Journal Article
Computers and Mathematics with Applications, ISSN 0898-1221, 10/2017, Volume 74, Issue 8, pp. 1897 - 1902
A coupled Kadomtsev–Petviashvili equation is investigated by using Lie symmetry analysis. The similarity reductions and new exact solutions are obtained via... 
Extended tanh method | Lie symmetry method | Coupled Kadomtsev–Petviashvili equation | RATIONAL SOLUTIONS | MATHEMATICS, APPLIED | HIROTA | Coupled Kadomtsev-Petviashvili equation | KDV
Journal Article
Optik - International Journal for Light and Electron Optics, ISSN 0030-4026, 05/2017, Volume 136, pp. 451 - 461
This paper obtains bright, dark and singular soliton solutions from perturbed Schrödinger–Hirota equation that governs the propagation of dispersive pulses... 
Schrödinger–Hirota equation | Extended trial equation method | Dispersion | Solitons | TRAVELING-WAVE SOLUTIONS | DIFFERENTIAL-EQUATIONS | OPTICS | Schrodinger-Hirota equation
Journal Article
Optik - International Journal for Light and Electron Optics, ISSN 0030-4026, 05/2017, Volume 136, pp. 445 - 450
This paper obtains dispersive dark and singular optical solitons, governed by Schrödinger–Hirota equation, in optical fibers. The integration algorithm is the... 
Modified simple equation method | Schrödinger–Hirota equation | Solitons | OPTICS | Schrodinger-Hirota equation | Methods | Algorithms
Journal Article
Journal of Mathematical Physics, ISSN 0022-2488, 01/2019, Volume 60, Issue 1, p. 11504
We formulate a 3 × 3 Riemann–Hilbert problem to solve the Cauchy problem for the Sasa–Satsuma equation on the line, which allows us to give a representation... 
SOLITON-SOLUTIONS | NLS EQUATION | SCHRODINGER-EQUATION | RIEMANN-HILBERT PROBLEMS | OPTICAL SOLITONS | HIROTA EQUATION | PHYSICS, MATHEMATICAL | Asymptotic properties | Steepest descent method | Cauchy problem
Journal Article
Physics Letters A, ISSN 0375-9601, 05/2019, Volume 383, Issue 14, pp. 1578 - 1582
The Hirota bilinear method has been studied in a lot of local equations, but there are few of works to solve nonlocal equations by Hirota bilinear method. In... 
Nonlocal soliton solution | Nonlocal modified Korteweg-de Vries equation | Hirota bilinear method | TRANSFORMATION | MULTISOLITON SOLUTIONS | SOLITONS | PHYSICS, MULTIDISCIPLINARY | STABILITY | DYNAMICS
Journal Article
Computers and Mathematics with Applications, ISSN 0898-1221, 06/2018, Volume 75, Issue 12, pp. 4214 - 4220
A new Hirota’s bilinear form of the (4+1)-dimensional Fokas equation is obtained by an appropriate wave transformation. Applying the parameter limit method... 
Hirota’s bilinear method | (4+1)-dimensional Fokas equation | Fusion and fission | Rogue wave solution | Stripe soliton | Parameter limit method | Hirota's bilinear method | MATHEMATICS, APPLIED | ROGUE WAVE | LUMP SOLUTION | TRAVELING-WAVE SOLUTIONS | SOLITONS | SYMMETRY | DYNAMICS | Water waves | Methods
Journal Article
Applied Mathematics and Computation, ISSN 0096-3003, 05/2008, Volume 199, Issue 1, pp. 133 - 138
In this work, the Sawada-Kotera-Ito seventh-order equation is studied. The tanh-coth method is applied to obtain soliton solution of this equation. The... 
Multiple-soliton solutions | Hirota's direct method | Sawada-Kotera-Ito seventh-order equation | Hereman's method | Tanh-coth method | DE VRIES EQUATION | MATHEMATICS, APPLIED | SEARCH | solutions | 3-SOLITON CONDITION | tanh-coth method | NONLINEAR EVOLUTION | COLLISIONS | multiple-soliton | BILINEAR EQUATIONS | SYSTEMS | WAVE-EQUATIONS
Journal Article
Modern Physics Letters B, ISSN 0217-9849, 03/2019, Volume 33, Issue 9, p. 1950106
In this paper, some new traveling wave solutions to the Hirota–Maccari equation are constructed with the help of the newly introduced method called generalized... 
solitary wave solution | Hirota-Maccari equation | nonlinear partial differential equations | generalized exponential rational function | Exact solution | PHYSICS, CONDENSED MATTER | PHYSICS, APPLIED | DARK | WAVE SOLUTIONS | NONLINEAR SCHRODINGER-EQUATION | OPTICAL SOLITONS | PHYSICS, MATHEMATICAL | KERR | KDV EQUATION | CONSERVATION-LAWS
Journal Article
No results were found for your search.

Cannot display more than 1000 results, please narrow the terms of your search.