Auxiliary field sigma models and Yang-Baxter deformations.
- Published in:
- Journal of High Energy Physics, 2025, v. 2025, n. 5, p. 1, doi. 10.1007/JHEP05(2025)223
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- Publication type:
- Article
Works matching DE "LAX pair"
Results: 504
1
2
Coupled Hirota system: higher-order rogue waves and multi-solitons structures.
- Published in:
- European Physical Journal: Special Topics, 2025, v. 234, n. 3, p. 445, doi. 10.1140/epjs/s11734-024-01206-2
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- Article
3
On the Einstein–Weyl geometrical system with the central quadric ansatz: The associated dispersionless integrable hierarchy.
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- ZAMM -- Journal of Applied Mathematics & Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 2025, v. 105, n. 5, p. 1, doi. 10.1002/zamm.70096
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- Article
4
Analytic Investigation of a Generalized Variable-Coefficient KdV Equation with External-Force Term.
- Published in:
- Mathematics (2227-7390), 2025, v. 13, n. 10, p. 1642, doi. 10.3390/math13101642
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- Article
5
The Hopf-Lax formula in Carnot groups: a control theoretic approach.
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- Calculus of Variations & Partial Differential Equations, 2014, v. 49, n. 3/4, p. 1379, doi. 10.1007/s00526-013-0627-3
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- Article
6
DARBOUX TRANSFORMATION OF THE COUPLED MASSIVE THIRRING MODELS AND EXACT SOLUTIONS.
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- Acta Physica Polonica B, 2023, v. 54, n. 3, p. 1, doi. 10.5506/APhysPolB.54.3-A1
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- Article
7
On First Integrals of Linear Hamiltonian Systems.
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- Doklady Mathematics, 2018, v. 98, n. 3, p. 616, doi. 10.1134/S1064562418070256
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- Article
8
CONNECTIONS OF ZERO CURVATURE AND APPLICATIONS TO NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS.
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- Discrete & Continuous Dynamical Systems - Series S, 2014, v. 7, n. 6, p. 1165, doi. 10.3934/dcdss.2014.7.1165
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- Article
9
Long-time asymptotics for the coupled modified complex short-pulse equation.
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- Communications on Pure & Applied Analysis, 2024, v. 23, n. 4, p. 1, doi. 10.3934/cpaa.2024023
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- Article
10
Inverse scattering transform and soliton solutions of an integrable nonlocal Hirota equation.
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- Communications on Pure & Applied Analysis, 2022, v. 21, n. 1, p. 293, doi. 10.3934/cpaa.2021178
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- Article
11
INITIAL-BOUNDARY VALUE PROBLEMS FOR THE COUPLED MODIFIED KORTEWEG-DE VRIES EQUATION ON THE INTERVAL.
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- Communications on Pure & Applied Analysis, 2018, v. 17, n. 3, p. 923, doi. 10.3934/cpaa.2018046
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- Article
12
TRIVIALLY RELATED LAX PAIRS OF THE SAWADA-KOTERA EQUATION.
- Published in:
- Bulletin of the Iranian Mathematical Society, 2016, v. 42, n. 2, p. 227
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- Publication type:
- Article
13
EXPLICIT MULTIPLE SINGULAR PERIODIC SOLUTIONS AND SINGULAR SOLITON SOLUTIONS TO KDV EQUATION.
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- Bulletin of the Iranian Mathematical Society, 2015, v. 41, n. 2, p. 491
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- Publication type:
- Article
14
Integrable variable-coefficient derivative Spin-1 Gross–Pitaevskii equations and their explicit solutions.
- Published in:
- Modern Physics Letters B, 2022, v. 36, n. 3, p. 1, doi. 10.1142/S0217984921505606
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- Article
15
A generalized integrable hierarchy related to the relativistic Toda lattice: Hamiltonian structure, Darboux transformation, soliton solution and conservation law.
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- Modern Physics Letters B, 2022, v. 36, n. 2, p. 1, doi. 10.1142/S021798492150545X
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- Article
16
Bäcklund transformations, Lax pair and solutions of a Sharma-Tasso-Olver-Burgers equation for the nonlinear dispersive waves.
- Published in:
- Modern Physics Letters B, 2021, v. 35, n. 35, p. 1, doi. 10.1142/S0217984921504212
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- Article
17
Lax pair, Darboux transformation and rogue-periodic waves of a nonlinear Schrödinger–Hirota equation with the spatio-temporal dispersion and Kerr law nonlinearity in nonlinear optics.
- Published in:
- Modern Physics Letters B, 2021, v. 35, n. 31, p. 1, doi. 10.1142/S0217984921504510
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- Article
18
Darboux-dressing transformation, conservation laws and bound-state solutions of the vector Lakshmanan–Porsezian–Daniel equation.
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- Modern Physics Letters B, 2021, v. 35, n. 26, p. 1, doi. 10.1142/S021798492150442X
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- Article
19
On a Riemann–Hilbert problem for the NLS-MB equations.
- Published in:
- Modern Physics Letters B, 2021, v. 35, n. 25, p. 1, doi. 10.1142/S0217984921504200
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- Article
20
N-soliton solutions for the Maxwell–Bloch equations via the Riemann–Hilbert approach.
- Published in:
- Modern Physics Letters B, 2021, v. 35, n. 21, p. 1, doi. 10.1142/S0217984921503565
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- Article
21
Darboux transformation for the supersymmetric nonisospectral KdV equation.
- Published in:
- Modern Physics Letters B, 2021, v. 35, n. 15, p. N.PAG, doi. 10.1142/S0217984921502559
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- Article
22
Riemann–Hilbert approach for a Schrödinger-type equation with nonzero boundary conditions.
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- Modern Physics Letters B, 2021, v. 35, n. 12, p. N.PAG, doi. 10.1142/S0217984921502080
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- Article
23
On the double-pole solutions of the complex short-pulse equation.
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- Modern Physics Letters B, 2021, v. 35, n. 7, p. N.PAG, doi. 10.1142/S0217984921501293
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- Article
24
Darboux transformation and exact solutions for a (2 + 1)-dimensional integrable system of nonlinear evolution equations.
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- Modern Physics Letters B, 2020, v. 34, n. 34, p. N.PAG, doi. 10.1142/S0217984920503923
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- Article
25
The integrability of the coupled Ramani equation with binary Bell polynomials.
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- Modern Physics Letters B, 2020, v. 34, n. 32, p. N.PAG, doi. 10.1142/S0217984920503716
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- Article
26
The Riemann–Hilbert approach to focusing Kundu–Eckhaus equation with non-zero boundary conditions.
- Published in:
- Modern Physics Letters B, 2020, v. 34, n. 30, p. N.PAG, doi. 10.1142/S0217984920503327
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- Article
27
Darboux transformation and soliton solutions of the (2+1)-dimensional Schwarz–Korteweg–de Vries equation.
- Published in:
- Modern Physics Letters B, 2020, v. 34, n. 25, p. N.PAG, doi. 10.1142/S021798492050270X
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- Article
28
Conservation laws and Darboux transformations for a 3-coupled integrable lattice equations.
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- Modern Physics Letters B, 2020, v. 34, n. 21, p. N.PAG, doi. 10.1142/S0217984920502188
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- Publication type:
- Article
29
N-soliton solution for a higher-order Chen–Lee–Liu equation with nonzero boundary conditions.
- Published in:
- Modern Physics Letters B, 2020, v. 34, n. 4, p. N.PAG, doi. 10.1142/S0217984920500542
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- Article
30
Darboux transformation approach for two new coupled nonlinear evolution equations.
- Published in:
- Modern Physics Letters B, 2020, v. 34, n. 1, p. N.PAG, doi. 10.1142/S0217984920500049
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- Article
31
Some symmetries and similarity solutions of the long-water wave hierarchy.
- Published in:
- Modern Physics Letters B, 2019, v. 33, n. 34, p. N.PAG, doi. 10.1142/S021798491950430X
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- Article
32
Riemann–Hilbert approach for multi-soliton solutions of a fourth-order nonlinear Schrödinger equation.
- Published in:
- Modern Physics Letters B, 2019, v. 33, n. 33, p. N.PAG, doi. 10.1142/S0217984919504165
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- Article
33
Darboux transformation for the Zn-Hirota systems.
- Published in:
- Modern Physics Letters B, 2019, v. 33, n. 21, p. N.PAG, doi. 10.1142/S0217984919502464
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- Article
34
High-order rogue-wave of the inhomogeneous nonlinear Hirota equation with a self-consistent source.
- Published in:
- Modern Physics Letters B, 2019, v. 33, n. 8, p. N.PAG, doi. 10.1142/S0217984919500878
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- Article
35
Riemann–Hilbert approach and N-soliton solutions for the Chen–Lee–Liu equation.
- Published in:
- Modern Physics Letters B, 2019, v. 33, n. 2, p. N.PAG, doi. 10.1142/S0217984919500027
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- Article
36
Bäcklund transformation of Frobenius Painlevé equations.
- Published in:
- Modern Physics Letters B, 2018, v. 32, n. 17, p. N.PAG, doi. 10.1142/S0217984918501816
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- Article
37
Bäcklund transformations of -sine-Gordon systems.
- Published in:
- Modern Physics Letters B, 2017, v. 31, n. 17, p. -1, doi. 10.1142/S0217984917501895
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- Article
38
Bilinear Bäcklund transformation, Lax pair and multi-soliton solution for a vector Ramani equation.
- Published in:
- Modern Physics Letters B, 2017, v. 31, n. 12, p. -1, doi. 10.1142/S0217984917501330
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- Publication type:
- Article
39
Bound-state solutions, Lax pair and conservation laws for the coupled higher-order nonlinear Schrödinger equations in the birefringent or two-mode fiber.
- Published in:
- Modern Physics Letters B, 2017, v. 31, n. 12, p. -1, doi. 10.1142/S0217984917500671
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- Publication type:
- Article
40
Breathers and rogue waves for an eighth-order nonlinear Schrödinger equation in an optical fiber.
- Published in:
- Modern Physics Letters B, 2017, v. 31, n. 5, p. -1, doi. 10.1142/S021798491750035X
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- Publication type:
- Article
41
Dark solitons, Lax pair and infinitely-many conservation laws for a generalized (2+1)-dimensional variable-coefficient nonlinear Schrödinger equation in the inhomogeneous Heisenberg ferromagnetic spin chain.
- Published in:
- Modern Physics Letters B, 2017, v. 31, n. 3, p. -1, doi. 10.1142/S0217984917500130
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- Article
42
Solitons, Bäcklund transformation and Lax pair for a generalized variable-coefficient Boussinesq system in the two-layered fluid flow.
- Published in:
- Modern Physics Letters B, 2016, v. 30, n. 32/33, p. -1, doi. 10.1142/S0217984916503838
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- Article
43
Conservation laws of a perturbed Kaup-Newell equation.
- Published in:
- Modern Physics Letters B, 2016, v. 30, n. 32/33, p. -1, doi. 10.1142/S0217984916503814
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- Article
44
Two kinds of finite-dimensional integrable reduction to the Harry-Dym hierarchy.
- Published in:
- Modern Physics Letters B, 2016, v. 30, n. 32/33, p. -1, doi. 10.1142/S0217984916503966
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- Article
45
Notes on 'Analytic solutions and Darboux transformation to a new Hamiltonian lattice hierarchy'.
- Published in:
- Modern Physics Letters B, 2016, v. 30, n. 30, p. 1, doi. 10.1142/S0217984916710019
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- Article
46
Solitons, Bäcklund transformation and Lax pair for a (2+1)-dimensional B-type Kadomtsev-Petviashvili equation in the fluid/plasma mechanics.
- Published in:
- Modern Physics Letters B, 2016, v. 30, n. 25, p. -1, doi. 10.1142/S0217984916502651
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- Article
47
Nonlocal symmetries and interaction solutions of the Sawada-Kotera equation.
- Published in:
- Modern Physics Letters B, 2016, v. 30, n. 23, p. -1, doi. 10.1142/S0217984916502936
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- Article
48
Solitons, Bäcklund transformations, Lax pair and conservation laws for the nonautonomous mKdV-sinh-Gordon equation with time-dependent coefficients.
- Published in:
- Modern Physics Letters B, 2016, v. 30, n. 3, p. -1, doi. 10.1142/S0217984916500081
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49
On Bell polynomials approach to the integrability of a (3+1)-dimensional generalized Kadomtsev-Petviashvili equation.
- Published in:
- Modern Physics Letters B, 2015, v. 29, n. 12, p. 1, doi. 10.1142/S0217984915500517
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- Article
50
Analytic solutions of Brans–Dicke cosmology: Early inflation and late time accelerated expansion.
- Published in:
- International Journal of Modern Physics D: Gravitation, Astrophysics & Cosmology, 2023, v. 32, n. 1, p. 1, doi. 10.1142/S0218271822501310
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- Article