Results 151 to 160 of about 27,126 (206)

Bright solitons and interaction in the higher-order Gross-Pitaevskii equation investigated with Hirota's bilinear method

Physics Letters, Section A: General, Atomic and Solid State Physics
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Emmanuel Kengne, Olivier Lekeufack Tiokeng, R Yamapi   +2 more
exaly   +4 more sources

A new (3 + 1) dimensional Hirota bilinear equation: Periodic, rogue, bright and dark wave solutions by bilinear neural network method

Journal of Ocean Engineering and Science, 2022
Emrullah Yasar, Melih Zeynel
exaly   +3 more sources

Hirota Bilinear Performance on Hirota–Satsuma–Ito Equation Using Bilinear Neural Network Method

International Journal of Applied and Computational Mathematics
N. Tuan, Nguyen Hong Son
semanticscholar   +2 more sources

Hirota bilinear method for nonlinear evolution equations

, 2003
Summary. The bilinear method introduced by Hirota to obtain exact solutions for nonlinear evolution equations is discussed. Firstly, several examples including the Korteweg-deVries, nonlinear Schrodinger and Toda equations are given to show how solutions are derived.
J. Satsuma
semanticscholar   +2 more sources

Soliton Dynamics of the Phi-Four Equation and Fisher Equation by Hirota Bilinear Method

International Journal of Applied and Computational Mathematics
Subodh Barik, S. Behera
semanticscholar   +2 more sources

Hirota bilinear method and multi-soliton interaction of electrostatic waves driven by cubic nonlinearity in pair-ion-electron plasmas

The Physics of Fluids, 2023
Multi-soliton interaction of nonlinear ion sound waves in a pair-ion-electron (PIE) plasma having non-Maxwellian electrons including kappa, Cairns, and generalized two spectral index distribution functions are studied. To this end, a modified Korteweg-de
N. Batool, W. Masood, M. Siddiq, A. Alrowaily, S. M. Ismaeel, S. El-Tantawy   +5 more
semanticscholar   +1 more source

Multiple rogue wave solutions of (2+1)-dimensional YTSF equation via Hirota bilinear method

Waves in Random and Complex Media, 2021
In present paper, multiple rogue wave solutions of (2+1)-dimensional Yu–Toda–Sasa–Fukuyama equation were studied by applying the traveling wave transformation and the Hirota bilinear method.
Yueyang Feng, S. Bilige
semanticscholar   +1 more source

Multiple-soliton solutions for the KP equation by Hirota’s bilinear method and by the tanh–coth method

Applied Mathematics and Computation, 2007
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Abdul-Majid Wazwaz
exaly   +3 more sources

Various solutions of the (2+1)-dimensional Hirota–Satsuma–Ito equation using the bilinear neural network method

Chinese Journal of Physics, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hailing Wang
exaly   +2 more sources

Collision of dust ion acoustic multisolitons in a non-extensive plasma using Hirota bilinear method

Physics of Plasmas, 2018
The collision of two, four, and six dust ion acoustic solitons (DIASs) in an unmagnetized non-extensive plasma is studied. The dispersion characteristics are analyzed. Using the extended Poincaré-Lighthill-Kue method, two different Korteweg–de Vries (KdV) equations are derived for the colliding DIASs.
S. El-Labany, W. El-Taibany, E. E. Behery, S. Fouda   +3 more
semanticscholar   +2 more sources