Results 111 to 120 of about 697 (208)

Bilinear form, bilinear Bäcklund transformation and dynamic features of the soliton solutions for a variable-coefficient (3+1)-dimensional generalized shallow water wave equation

, 2017
Under investigation in this letter is a variable-coefficient (3[Formula: see text]+[Formula: see text]1)-dimensional generalized shallow water wave equation. Bilinear form and Bäcklund transformation are obtained.
Qian-Min Huang, Yi-Tian Gao
core   +1 more source

Analysis of Solitons within the framework of the fractional Zakharov-Kuznetsov equation utilizing Hirota bilinear method

8 pages, 3 ...
Dutta, Saugata, Chatterjee, Prasanta, Nasipuri, Snehalata   +2 more
openaire   +2 more sources

Exact and Data-Driven Lump Wave Solutions for the (3+1)-Dimensional Hirota–Satsuma–Ito-like Equation

In this paper, the lump wave solutions for (3+1)-dimensional Hirota–Satsuma–Ito-like (HSIl) equation are constructed by employing the Hirota bilinear method and quadratic function approach, and the corresponding propagation behaviors and ...
Jieyi Wang, Yunqing Yang, Fengxiang Li
core   +1 more source

Multi-Soliton solutions to a model equation for shallow water waves

, 2010
In Soliton theory, Hirota direct method is most efficient tool for seeking one soliton solutions or multi-soliton solutions of integrable nonlinear partial differential equations.
Qiao, Zhijiang
core  

Exact soliton, lump, and breather solutions of the (3 + 1)-dimensional Jimbo-Miwa equation via the bilinear neural network method. [PDF]

Sci Rep
Hussein HH, Mekawey H, Elsheikh A.
europepmc   +1 more source

Dynamical analysis of lump, breather, M-shaped and other wave profiles propagating in a nonlinear PDE describing the nonlinear low-pass electrical transmission lines. [PDF]

Sci Rep
Baber MZ, Shafee A, Ceesay B, Ahmed N.
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