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Nonlinear Dynamics, ISSN 0924-090X, 3/2017, Volume 87, Issue 4, pp. 2305 - 2310
Journal Article
Computers and Mathematics with Applications, ISSN 0898-1221, 01/2017, Volume 73, Issue 2, pp. 246 - 252
Journal Article
Analysis and Mathematical Physics, ISSN 1664-2368, 9/2018, Volume 8, Issue 3, pp. 427 - 436
Based on the Hirota bilinear form of the $$(2+1)$$ (2+1) -dimensional Ito equation, one class of lump solutions and two classes of interaction solutions... 
Soliton solution | Mathematical Methods in Physics | Analysis | Mathematics | 35Q53 | 37K40 | 35Q51 | Bilinear form | Lump solution | MATHEMATICS | RATIONAL SOLUTIONS | MATHEMATICS, APPLIED | SYMMETRY CONSTRAINT | HIERARCHY
Journal Article
Nonlinear Dynamics, ISSN 0924-090X, 02/2018, Volume 91, Issue 3, pp. 1669 - 1676
In this paper, based on the Hirota bilinear method, a kind of lump solutions and two classes of interaction solutions are discussed to the (2 + 1)-dimensional... 
(2+1)-dimensional generalized KdV equation | Lump–kink | Hirota bilinear | Lump solution | Lump-soliton | RATIONAL SOLUTIONS | HIROTA BILINEAR EQUATION | WAVE SOLUTIONS | ROGUE WAVE | ENGINEERING, MECHANICAL | BACKLUND TRANSFORMATION | KINK SOLUTIONS | Lump-kink | MECHANICS | SOLITONS | KP EQUATION | BKP EQUATION | NONLINEAR EVOLUTION-EQUATIONS | Parameters
Journal Article
Nonlinear Dynamics, ISSN 0924-090X, 04/2018, Volume 92, Issue 2, pp. 487 - 497
Journal Article
Computers and Mathematics with Applications, ISSN 0898-1221, 09/2017, Volume 74, Issue 6, pp. 1399 - 1405
By using the Hirota bilinear form of the KP equation, twelve classes of lump–kink solutions are presented under the help of symbolic computations with Maple.... 
Soliton solution | Bilinear form | Lump solution | RATIONAL SOLUTIONS | MATHEMATICS, APPLIED | BELL POLYNOMIALS | LATTICE EQUATION | DE-VRIES EQUATION | RESONANT SOLUTIONS | KADOMTSEV-PETVIASHVILI EQUATION | SOLITON-SOLUTIONS | SYMMETRY CONSTRAINT | BILINEAR EQUATIONS | KORTEWEG-DEVRIES
Journal Article
Nonlinear Dynamics, ISSN 0924-090X, 11/2017, Volume 90, Issue 3, pp. 2119 - 2124
In this paper, we obtained a kind of lump solutions of ( $$2+1$$ 2 + 1 )-dimensional bSK equation with the assistance of Mathematica by using the Hirota... 
Engineering | Vibration, Dynamical Systems, Control | Hirota bilinear | Classical Mechanics | Automotive Engineering | ( $$2+1$$ 2 + 1 )-dimensional bSK equation | Mechanical Engineering | Lump solution | WAVE | MECHANICS | (2+1)-dimensional bSK equation | EVOLUTION | SOLITONS | ENGINEERING, MECHANICAL | Mathematical analysis | Parameters
Journal Article
PHYSICA SCRIPTA, ISSN 0031-8949, 05/2019, Volume 94, Issue 5, p. 55206
In this paper, we consider fissionable wave solutions and lump solutions for the (2 + 1)-dimensional Sawada-Kotera equation via the Hirota bilinear form and... 
LINE-SOLITON | SOLITARY WAVE | BREATHER WAVE | PHYSICS, MULTIDISCIPLINARY | SCHRODINGER-EQUATION | Hirota bilinear form | fissionable wave solution | ROGUE WAVE | MULTISOLITON SOLUTIONS | (2+1)-dimensional Sawada-Kotera equation | interactional solution | DYNAMICS | lump solution | RESONANCES
Journal Article
Physics Letters A, ISSN 0375-9601, 09/2015, Volume 379, Issue 36, pp. 1975 - 1978
Through symbolic computation with Maple, a class of lump solutions, rationally localized in all directions in the space, to the (2 + 1)-dimensional... 
Hirota bilinear form | Kadomtsev–Petviashvili equation | Lump solution | Kadomtsev-Petviashvili equation | RATIONAL SOLUTIONS | PHYSICS, MULTIDISCIPLINARY | CONSTRUCTION
Journal Article
Applied Mathematics Letters, ISSN 0893-9659, 03/2019, Volume 89, pp. 103 - 110
Journal Article
Computers and Mathematics with Applications, ISSN 0898-1221, 04/2019, Volume 77, Issue 8, pp. 2077 - 2085
In this paper, a (2+1)-dimensional generalized Bogoyavlensky–Konopelchenko equation is investigated. Lump-type solutions and lump solutions are obtained with... 
Hirota bilinear method | Lump-type solution | Generalized Bogoyavlensky–Konopelchenko equation | Bogoyavlensky Konopelchenko equation | MATHEMATICS, APPLIED | SOLITON-SOLUTIONS | PLASMA | ROGUE WAVE | Generalized | KINK SOLUTIONS | Art schools | Polynomials | Parameters
Journal Article
Applied Mathematics Letters, ISSN 0893-9659, 11/2019, Volume 97, pp. 81 - 87
In this paper the (3+1)-dimensional Boiti–Leon–Manna–Pempinelli (BLMP) equation is investigated. The integrability test is performed yielding a positive... 
Lump-kink solutions | Localized excitation solutions | (3+1)-dimensional BLMP equation | TRANSFORMATION | MATHEMATICS, APPLIED | WAVE SOLUTIONS
Journal Article
Computers and Mathematics with Applications, ISSN 0898-1221, 02/2019, Volume 77, Issue 3, pp. 724 - 730
The Painlevé analysis is applied and the multi-soliton criterion is presented to test the integrability of the (3+1)-dimensional generalized KP equation... 
Hirota bilinear equation | Painlevé analysis | Solitary wave solutions | Integrability | Lump-type solutions | MATHEMATICS, APPLIED | ABUNDANT | PROPERTY | Painleve analysis | KINK SOLUTIONS | Mathematical analysis | Solitary waves | Polynomials
Journal Article
Modern Physics Letters B, ISSN 0217-9849, 09/2018, Volume 32, Issue 27, p. 1850334
In this paper, via the limit technique of long wave, the N-order rational solution of the (2+1)-dimensional B-type Kadomtsev–Petviashvili (BKP) equation is... 
B-type Kadomtsev-Petviashvili equation | lump solution | Rational solution | NONSTATIONARY SCHRODINGER | PHYSICS, CONDENSED MATTER | PHYSICS, APPLIED | I EQUATION | KP EQUATION | SOLITON-EQUATIONS | PHYSICS, MATHEMATICAL | TRANSFORMATION GROUPS
Journal Article