Results 81 to 90 of about 1,098 (97)

Integrability and Linear Stability of Nonlinear Waves. [PDF]

J Nonlinear Sci, 2018
Degasperis A, Lombardo S, Sommacal M.
europepmc   +1 more source

Solitary wave and other solutions for nonlinear heat equations

Open Mathematics, 2004
Nikitin Anatoly, Barannyk Tetyana
doaj   +1 more source

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Inverse Scattering Transform and Soliton Solutions for the Hirota Equation with $N$ Distinct Arbitrary Order Poles

Advances in Applied Mathematics and Mechanics, 2022
We employ the Riemann-Hilbert (RH) method to study the Hirota equation with arbitrary order zero poles under zero boundary conditions. Through the spectral analysis, the asymptoticity, symmetry, and analysis of the Jost functions are obtained, which play
Xiaofan Zhang, Shoufu Tian null, Jin-Jie Yang   +2 more
semanticscholar   +1 more source

The Dynamics of Lump, Lumpoff and Rogue Wave Solutions of (2+1)-Dimensional Hirota-Satsuma-Ito Equations

, 2020
The Hirota-Satsuma-Ito equation in (2+1)-dimensions is studied and a new general representation of lump solutions is derived. If the lump soliton is generated by an exponentially localised line soliton, we obtain a lumpoff solution. On the other hand, if
Ling-Di Zhang
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Abundant Mixed Lump-Soliton Solutions to the BKP Equation

East Asian Journal on Applied Mathematics, 2018
Applying Maple symbolic computations, we derive eight sets of mixed lumpsoliton solutions to the (2 + 1)-dimensional BKP equation. The solutions are analytic and allow the separation of lumps and line solitons.
Jin-Yun Yang
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Novel Interaction Phenomena of Localised Waves in the (2 + 1)-Dimensional HSI Equation

, 2020
Localised interaction solutions of the (2+1)-dimensional generalised HirotaSatsuma-Ito equation are studied. Using the Hirota bilinear form and Maple symbolic computations, we generate three classes of lump solutions.
Hongcai Ma
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The Riemann-Hilbert Approach to Initial-Boundary Value Problems for Integrable Coherently Coupled Nonlinear Schrodinger Systems on the Half-Line

East Asian Journal on Applied Mathematics, 2018
An integrable coherently coupled nonlinear Schrödinger system describing the propagation of polarised optical waves in an isotropic medium with a generalized 4 × 4 matrix Ablowitz-Kaup-Newell-Segur-type Lax pair is studied.
Beibei Hu
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Lump Solutions of the Modified Kadomtsev-Petviashvili-I Equation

, 2020
The modified Kadomtsev-Petviashvili-I equation is studied by the Hirota bilinear method. Certain lump solutions of this equation are found via the ansatz technique.
X. Yong, Yuning Chen, Yehui Huang, W. Ma
semanticscholar   +1 more source

Dynamics of Solitary Waves and Periodic Waves in a (3 + 1)-Dimensional Nonlinear Evolution Equation

East Asian Journal on Applied Mathematics, 2018
The Hirota bilinear method is applied to a generalised (3 + 1)-dimensional nonlinear evolution equation. Using the Riemann theta function, we construct periodic wave solutions of the Eq. (1.1) and discuss their properties.
Xiu-Bin Wang
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The new exact solutions of the new coupled Konno-Oono equation by using extended simplest equation method

, 2018
The extended simplest equation method is employed to solve new coupled Konno-Oono equation. By means of this scheme, we found new exact solution. The method is straight for ward, concise and effective, it can also be applied to other nonlinear solution ...
M. Torvattanabun, Papraporn Juntakud, Adsadawut Saiyun, Nattawut Khansai   +3 more
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