Results 1 to 10 of about 9,899 (289)

Lump and interaction solutions to the (2+1)-dimensional Burgers equation

Applied Mathematics Letters, 2018
exaly  

New Lump Solution and Their Interactions with <i>N</i>-Solitons for a Shallow Water Wave Equation

Journal of Applied Mathematics and Physics
exaly  

Lump solution and lump-type solution to a class of water wave equation

Results in Physics, 2023
In the field of nonlinear sciences, the theory of solitons has long been regarded as one of the most significant and effective areas of research. In this research field, there are many efficient techniques for solving partial differential equations.
S. Liu, Z. Yang, A. Althobaiti, Y. Wang
doaj   +4 more sources

Localized waves and interaction solutions to the fractional generalized CBS-BK equation arising in fluid mechanics

Advances in Difference Equations, 2021
The Hirota bilinear method is employed for searching the localized waves, lump–solitons, and solutions between lumps and rogue waves for the fractional generalized Calogero–Bogoyavlensky–Schiff–Bogoyavlensky–Konopelchenko (CBS-BK) equation.
Jalil Manafian, Onur Alp Ilhan, Ladan Avazpour, As’ad Alizadeh   +3 more
doaj   +6 more sources

Lump-Type Wave and Interaction Solutions of the Bogoyavlenskii–Kadomtsev–Petviashvili Equation

Complexity, 2020
Lump-type wave solution of the Bogoyavlenskii–Kadomtsev–Petviashvili equation is constructed by using the bilinear structure and Hermitian quadratic form.
Chuanjian Wang, Hui Fang
doaj   +2 more sources

Mixed Rational Lump-Solitary Wave Solutions to an Extended (2+1)-Dimensional KdV Equation

Advances in Mathematical Physics, 2021
Based on the bilinear method, rational lump and mixed lump-solitary wave solutions to an extended (2+1)-dimensional KdV equation are constructed through the different assumptions of the auxiliary function in the trilinear form.
Zhigang Yao, Huayong Xie, Hui Jie
doaj   +2 more sources

Homoclinic breather, periodic wave, lump solution, and M-shaped rational solutions for cold bosonic atoms in a zig-zag optical lattice

Nonlinear Engineering, 2023
In this article, the equation showing the cold bosonic atoms in a zig-zag optical lattice model for some breathers, M-shaped solution and lump soliton solution, homoclinic breather pulses, breather lump pulses, periodic-cross kink wave, kink cross ...
Rizvi Syed T. R., Seadawy Aly R., Ahmed Samia   +2 more
doaj   +2 more sources

Multiple soliton and M-lump waves to a generalized B-type Kadomtsev–Petviashvili equation [PDF]

Results in Physics, 2023
In this study, we focus on the (3+1)-dimensional generalized B-type Kadomtsev–Petviashvili (gBKP) equation in fluid dynamics, which is useful for modeling weakly dispersive waves transmitted in quasi media and fluid mechanics.
Hajar F. Ismael, Harivan R. Nabi, Tukur Abdulkadir Sulaiman, Nehad Ali Shah, Mohamed R. Ali   +4 more
doaj   +2 more sources

Study of compressive and rarefactive lump solitons structures in dusty plasma with double spectral (r,q) distributed electrons

Journal of Taibah University for Science, 2023
Nonlinear features are revealed by one of the most competent and powerful approaches, i.e. soliton theory. The present article starts with the dust collisionless magnetized plasma where electrons are following double spectral [Formula: see text ...
Uday Narayan Ghosh
doaj   +2 more sources

A Study on Lump Solutions to a Generalized Hirota-Satsuma-Ito Equation in (2+1)-Dimensions

Complexity, 2018
The Hirota-Satsuma-Ito equation in (2+1)-dimensions passes the three-soliton test. This paper aims to generalize this equation to a new one which still has abundant interesting solution structures.
Wen-Xiu Ma, Jie Li, Chaudry Masood Khalique   +2 more
doaj   +2 more sources