Results 81 to 90 of about 314 (173)

Generalized Bilinear Differential Operators, Binary Bell Polynomials, and Exact Periodic Wave Solution of Boiti-Leon-Manna-Pempinelli Equation

Abstract and Applied Analysis, 2014
We introduce how to obtain the bilinear form and the exact periodic wave solutions of a class of (2+1)-dimensional nonlinear integrable differential equations directly and quickly with the help of the generalized Dp-operators, binary Bell polynomials ...
Huanhe Dong, Yanfeng Zhang, Yongfeng Zhang, Baoshu Yin   +3 more
doaj   +1 more source

Rational solutions and some interactions phenomena of a (3+1)-dimensional BLMP equation in incompressible fluids: A Hirota bilinear method and dimensionally reduction approach

Results in Physics
This manuscript addresses the rational solutions of a (3+1)-dimensional Boiti–Leon–Manna–Pempinelli (BLMP) equation, emphasizing key aspects in response to specific questions.
Mati ur Rahman, Mohammad Alqudah, Meraj Ali Khan, Bent Elmina Haroun Ali, Shabir Ahmad, Emad E. Mahmoud, Mei Sun   +6 more
doaj   +1 more source

Lax Pair, Hirota Bilinear Form and Soliton Solutions of the Seventh-Order Kaup-Kupershmidt Equation in Plasma Physics [PDF]

Proceedings of the 2017 International Conference on Mechanical, Electronic, Control and Automation Engineering (MECAE 2017), 2017
Wenguang Zhang, Yuping Zhang
openaire   +1 more source

On soliton solutions, periodic wave solutions and asymptotic analysis to the nonlinear evolution equations in (2+1) and (3+1) dimensions. [PDF]

Heliyon, 2023
Guo B, Fang Y, Dong H.
europepmc   +1 more source

Comparative analysis of lump, breather, and interaction solutions using a bidirectional data mapping approach. [PDF]

Sci Rep
Kazmi SS, Riaz MB.
europepmc   +1 more source

Wave modelling of 3 + 1 dimensional Wazwaz Kaur Boussinesq equation with the bilinear neural network method. [PDF]

Sci Rep
Shahen NHM, Al Amin M, Uddin MM, Foyjonnesa, Rahman MM.   +4 more
europepmc   +1 more source

Modulational instability and associated multiple dark solitons in relativistically degenerate electron-positron-ion plasmas. [PDF]

Sci Rep
Jahangir R, Masood W, Siddiq M, Batool N, Ullah S, Al-Ghamdi H, Tiofack CGL, El-Tantawy SA.   +7 more
europepmc   +1 more source

Revealing homoclinic breather waves, periodic lump waves and other waves forms of an integrable reduced spin Hirota-Maxwell-Bloch system. [PDF]

Sci Rep
Ceesay B, Yasin MW, Ahmed N, Baber MZ, Bittaye E.   +4 more
europepmc   +1 more source

Birational Symmetries, Hirota Bilinear Forms and Special Solutions of the Garnier Systems in 2-variables

Birational Symmetries, Hirota Bilinear Forms and Special Solutions of the Garnier Systems in 2-variables
application ...
openaire  

Analytical solutions and chaotic insights into the Hirota-Maccari system. [PDF]

Sci Rep
Usman T, Ullah MS.
europepmc   +1 more source