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Physics Letters A, ISSN 0375-9601, 2008, Volume 373, Issue 1, pp. 83 - 88
Journal Article
International Journal of Modern Physics B, ISSN 0217-9792, 10/2019, Volume 33, Issue 27, p. 1950319
Based on the Hirota bilinear form, lump-type solutions, interaction solutions and periodic wave solutions of a (3 + 1)-dimensional Korteweg–de Vries (KdV)... 
periodic wave solutions | PHYSICS, CONDENSED MATTER | PHYSICS, APPLIED | (3+1)-Dimensional KdV equation | lump-type solutions | Hirota bilinear form | interaction solutions | PHYSICS, MATHEMATICAL | N-SOLITON SOLUTIONS
Journal Article
by Liu, YQ and Wen, XY
ADVANCES IN DIFFERENCE EQUATIONS, ISSN 1687-1847, 08/2019, Volume 2019, Issue 1, pp. 1 - 11
In this work, the (2 + 1)-dimensional asymmetrical Nizhnik-Novikov-Veselov equation is investigated. Hirota's bilinear method is used to determine the... 
Interaction solution | MATHEMATICS | MATHEMATICS, APPLIED | INTEGRABILITY | NNV equation | Hirota bilinear method | N-soliton solution | TRANSFORM | HIERARCHY | Solitary waves | Wave propagation
Journal Article
Applied Mathematics and Computation, ISSN 0096-3003, 2011, Volume 217, Issue 21, pp. 8722 - 8730
Journal Article
Journal of Geometry and Physics, ISSN 0393-0440, 10/2018, Volume 132, pp. 45 - 54
A 3 × 3 matrix spectral problem is introduced and its associated AKNS integrable hierarchy with four components is generated. From this spectral problem, a... 
[formula omitted]-soliton solution | Riemann–Hilbert problem | Integrable hierarchy | N-soliton solution | MATHEMATICS | Riemann-Hilbert problem | INTEGRABLE SYSTEMS | EQUATIONS | HAMILTONIAN STRUCTURES | SEMIDIRECT SUMS | PHYSICS, MATHEMATICAL | HIERARCHY
Journal Article
Wave Motion, ISSN 0165-2125, 01/2016, Volume 60, pp. 62 - 72
A generalized Sasa–Satsuma equation on the line is studied via the Riemann–Hilbert approach. Firstly we derive a Lax pair associated with a 3×3 matrix spectral... 
Riemann–Hilbert approach | Generalized Sasa–Satsuma equation | [formula omitted]-soliton solutions | N-soliton solutions | Generalized Sasa-Satsuma equation | Riemann-Hilbert approach | ACOUSTICS | MECHANICS | PHYSICS, MULTIDISCIPLINARY
Journal Article
Nonlinear Dynamics, ISSN 0924-090X, 4/2019, Volume 96, Issue 1, pp. 789 - 800
Journal Article
Reviews in Mathematical Physics, ISSN 0129-055X, 08/2014, Volume 26, Issue 7, p. 1430006
This is a continuation of [Notes on solutions in Wronskian form to soliton equations: Korteweg–de Vries-type, arXiv:nlin.SI/0603008]. In the present paper, we... 
breathers | dynamics | Wronskian | The modified Korteweg-de Vries equation | rational solutions | FORM | PHYSICS, MATHEMATICAL | DEVRIES | WAVES | MODELS | MULTIPLE COLLISIONS | ION-ACOUSTIC SOLITON | N-SOLITON SOLUTIONS | PROPAGATION
Journal Article
by Ma, X and Xia, TC
PHYSICA SCRIPTA, ISSN 0031-8949, 09/2019, Volume 94, Issue 9, p. 95203
This paper studies the N-soliton solutions of the generalized nonlinear Schrodinger equation. Firstly, the spectral analysis of a Lax pair is carried out.... 
DARBOUX TRANSFORMATION | PHYSICS, MULTIDISCIPLINARY | Riemann-Hilbert approach | the generalized nonlinear Schrodinger equation N-soliton solutions
Journal Article
Applied Mathematics Letters, ISSN 0893-9659, 09/2016, Volume 59, pp. 115 - 121
In this paper, by employing the Hirota’s bilinear method, we construct the N-soliton solution for an integrable nonlocal discrete focusing nonlinear... 
Hirota’s bilinear method | Discrete nonlocal Schrödinger equation | [formula omitted]-soliton solution | Hirota's bilinear method | N-soliton solution
Journal Article
Modern Physics Letters B, ISSN 0217-9849, 01/2019, Volume 33, Issue 2, p. 1950002
In this paper, we construct the Riemann-Hilbert problem to the Lax pair of Chen-Lee- Liu (CLL) equation. As far as we know, many researchers have studied... 
Chen-Lee-Liu equation | N-soliton | Riemann-Hilbert approach | PHYSICS, CONDENSED MATTER | INTEGRABILITY | PHYSICS, APPLIED | SYSTEMS | PHYSICS, MATHEMATICAL
Journal Article
Applied Mathematics and Computation, ISSN 0096-3003, 11/2012, Volume 219, Issue 5, pp. 2601 - 2610
More general Wronskian conditions are constructed for the (3+1)-dimensional Jimbo–Miwa equation. As a result, the generalized Wronskian solutions including... 
(3 + 1)-Dimensional Jimbo–Miwa equation | Generalized Wronskian solutions | Wronskian technique | Hirota bilinear form | (3 + 1)-Dimensional Jimbo-Miwa equation | MATHEMATICS, APPLIED | BOUSSINESQ EQUATION | FORM | (3+1)-Dimensional Jimbo-Miwa equation | N-SOLITON SOLUTION | COMPLEXITON SOLUTIONS
Journal Article
Zeitschrift für Naturforschung A, ISSN 0932-0784, 01/2019, Volume 74, Issue 2, pp. 139 - 145
Journal Article
by An, HL and Feng, DL and Zhu, HX
NONLINEAR DYNAMICS, ISSN 0924-090X, 10/2019, Volume 98, Issue 2, pp. 1275 - 1286
The 2+1-dimensional Sawada-Kotera equation is an important physical model. Here, by taking a long limit and restricting a conjugation condition to the related... 
RATIONAL SOLUTIONS | High-order breather solution | M-lump solution | MECHANICS | Sawada-Kotera equation | Hirota bilinear method | Hybrid solution | WAVE SOLUTIONS | N-SOLITON SOLUTIONS | ENGINEERING, MECHANICAL | BACKLUND TRANSFORMATION | Forests and forestry | Numerical analysis
Journal Article
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