Results 41 to 50 of about 7,942,123 (324)

Abundant soliton wave solutions and the linear superposition principle for generalized (3+1)-D nonlinear wave equation in liquid with gas bubbles by bilinear analysis

Results in Physics, 2022
In this article, we study the generalized (3+1)-dimensional nonlinear wave equation where is investigated in soliton theory and by employing the Hirota’s bilinear method the bilinear form is obtained, and the N-soliton solutions are constructed.
Guiping Shen, Jalil Manafian, Dinh Tran Ngoc Huy, Kottakkaran Sooppy Nisar, Mostafa Abotaleb, Nguyen Dinh Trung   +5 more
doaj   +1 more source

Lump Solutions, Multi Lump Solutions and More Soliton Solutions of a Novel (2+1)-dimensional Nonlinear Evolution Equation [PDF]

, 2021
Abstract Exact solutions of a new (2+1)-dimensional nonlinear evolution equation are studied. Through the Hirota bilinear method, the test function method and the improved tanh-coth and tah-cot method, with the assisstance of symbolic operations, one can obtain the lump solutions, multi lump solutions and more soliton solutions.
Hongcai Ma, Shupan Yue, Yidan Gao, Aiping Deng   +3 more
openaire   +1 more source

Variety interaction between k-lump and k-kink solutions for the (3+1)-D Burger system by bilinear analysis

Results in Physics, 2022
In this paper, we investigate the (3+1)-dimensional Burger system which is employed in soliton theory and generated by considering the Hirota bilinear equation.
Yongyi Gu, Somaye Malmir, Jalil Manafian, Onur Alp Ilhan, As’ad Alizadeh, Ali J. Othman   +5 more
doaj   +1 more source

Moduli Spaces of Lumps on Real Projective Space [PDF]

, 2015
Harmonic maps that minimize the Dirichlet energy in their homotopy classes are known as lumps. Lump solutions on real projective space are explicitly given by rational maps subject to a certain symmetry requirement.
Muhamed, Abera A, Abera A. Muhamed, Steffen Krusch, Krusch, Steffen   +3 more
core   +1 more source

Dynamical analysis of lump, lump-triangular periodic, predictable rogue and breather wave solutions to the (3 + 1)-dimensional gKP–Boussinesq equation

Results in Physics, 2020
This paper studies the dynamics of shallow water waves with the (3 + 1)-dimensional generalized Kadomtsev–Petviashvili–Boussinesq (gKP–Boussinesq) equation arising in fluid mechanics.
Gour Chandra Paul, Farhana Zannat Eti, Dipankar Kumar   +2 more
doaj   +1 more source

Mixed Lump-Stripe Soliton Solutions to a New Extended Jimbo-Miwa Equation

Advances in Mathematical Physics, 2023
In this paper, the localized properties of lump and interaction solutions to a new extended Jimbo-Miwa (EJM) equation are studied. Based on the Hirota bilinear method and the test function method, the exact solutions of the EJM equation are discussed ...
Yinghui He
doaj   +1 more source

Multiple-order line rogue wave, lump and its interaction, periodic, and cross-kink solutions for the generalized CHKP equation

Propulsion and Power Research, 2021
The multiple-order line rogue wave solutions method is emp loyed for searching the multiple soliton solutions for the generalized (2 + 1)-dimensional Camassa-Holm-Kadomtsev-Petviashvili (CHKP) equation, which contains first-order, second-order, and third-
Yufeng Qian, Jalil Manafian, Sherin Youns Mohyaldeen, Liqaa S. Esmail, Sergey Alekseevich Gorovoy, Gurpreet Singh   +5 more
doaj   +1 more source

Lump solutions to nonlinear partial differential equations via Hirota bilinear forms [PDF]

, 2016
Lump solutions are analytical rational function solutions localized in all directions in space. We analyze a class of lump solutions, generated from quadratic functions, to nonlinear partial differential equations.
W. Ma, Yuan Zhou
semanticscholar   +1 more source

Lumps with their some interactions and breathers to an integrable (2 + 1)-dimensional Boussinesq equation in shallow water

Results in Physics, 2022
In this paper, the lumps with their interactions (lump-single and lump-double stripes), and breather wave solutions are constructed to the new integrable (2 + 1)-dimensional Boussinesq equation via the Hirota bilinear method.
Md. Nuruzzaman, Dipankar Kumar
doaj   +1 more source

Lump Solutions for PDE's: Algorithmic Construction and Classification [PDF]

Journal of Nonlinear Mathematical Physics, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Estévez, P. G., Prada, J.
openaire   +2 more sources