Results 61 to 70 of about 8,015,190 (317)

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   +1 more source

Dynamical solitary interactions between lump waves and different forms of n-solitons (n→∞) for the (2+1)-dimensional shallow water wave equation

Partial Differential Equations in Applied Mathematics, 2021
We construct lump wave solution by using parametric limit approach from an interaction of double soliton solutions to the (2+1)-dimensional shallow water wave equation.
Fahad Sameer Alshammari, Md Fazlul Hoque, Harun-Or-Roshid   +2 more
doaj   +1 more source

Lump solutions in SFT. Complements

, 2011
Recently a possible violation of the equation of motion for the recently proposed lump solutions in open SFT has been pointed out in the literature. In this paper we argue that, when the issue is considered in the appropriate mathematical setting of distribution theory, no violations to the equation of motion occur.
Bonora, L., Giaccari, S., Tolla, D. D.
openaire   +2 more sources

Bäcklund Transformation and Exact Solutions to a Generalized (3 + 1)-Dimensional Nonlinear Evolution Equation

Discrete Dynamics in Nature and Society, 2022
In this article, a generalized (3 + 1)-dimensional nonlinear evolution equation (NLEE), which can be obtained by a multivariate polynomial, is investigated. Based on the Hirota bilinear method, the N-soliton solution and bilinear Bäcklund transformation (
Yali Shen, Ying Yang
doaj   +1 more source

Exact solutions of a (3+1)-dimensional nonlinear evolution equation based on its Wronskian form

Partial Differential Equations in Applied Mathematics, 2022
In this paper, the Hirota bilinear method is applied to investigate the exact solutions of a (3+1)-dimensional nonlinear evolution equation. The soliton, breather and lump solutions satisfying specific Wronskian conditions are obtained.
Yaning Tang, Zaijun Liang
doaj   +1 more source

M-Breather, Lumps, and Soliton Molecules for the 2+1-Dimensional Elliptic Toda Equation

Advances in Mathematical Physics, 2021
The 2+1-dimensional elliptic Toda equation is a higher dimensional generalization of the Toda lattice and also a discrete version of the Kadomtsev-Petviashvili-1 (KP1) equation. In this paper, we derive the M-breather solution in the determinant form for
Yuechen Jia, Yu Lu, Miao Yu, Hasi Gegen
doaj   +1 more source

Patterns in Open String Field Theory Solutions [PDF]

, 2002
In open string field theory the kinetic operator mixes matter and ghost sectors, and thus the ghost structure of classical solutions is not universal.
A. Sen, A. Sen, A. Sen, A. Sen, A. Sen, A. Sen, Ashoke Sen, B. Feng, B. Zwiebach, Barton Zwiebach, D. Gaiotto, D.J. Gross, Davide Gaiotto, G. Moore, H. Hata, H. Hata, H. Hata, I. Ellwood, I. Kishimoto, I.Y. Arefeva, J.A. Harvey, K. Ohmori, K. Okuyama, K. Okuyama, K. Okuyama, L. Rastelli, L. Rastelli, Leonardo Rastelli, M. Marino, M. Schnabl, N. Moeller, N. Moeller, P. Mukhopadhyay, R. Rashkov, T. Takahashi, T. Takahashi, W. Taylor   +36 more
core   +2 more sources

Intravitreal GD2‐Specific Chimeric Antigen Receptor T‐Cell Therapy for Refractory Retinoblastoma

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Effective treatments for advanced, treatment‐resistant retinoblastoma (RB) remain limited. GD2‐specific chimeric antigen receptor (CAR) T cells show potent antitumor activity with minimal toxicity but have not previously been evaluated in RB.
Subongkoch Subhadhirasakul, Jatuporn Sujjitjoon, Pa‐thai Yenchitsomanus, Kridtin Jarutatsanangkoon, Ng Wei Loon, Kleebsabai Sanpakit, Jassada Buaboonnam, Chayamon Takpradit, Pornpimon Yuti, Nunghathai Sawasdee, Piriya Luangwattananun, Siripakorn Sangkitporn, Arnan Limmahachai, La‐ongsri Atchaneeyasakul   +13 more
wiley   +1 more source

Bifurcation solitons, Y-type, distinct lumps and generalized breather in the thermophoretic motion equation via graphene sheets

Alexandria Engineering Journal
Learned from wrinkle wave motions, we concentrated on bifurcation phenomena in substrate-supported graphene sheets by obtaining the bifurcation solitons of thermophoretic motion equation.
Aly R. Seadawy, Ali Ahmad, Syed T.R. Rizvi, Sarfaraz Ahmed   +3 more
doaj   +1 more source

A Study on Lump and Interaction Solutions to a (3 + 1)-Dimensional Soliton Equation

Complexity, 2019
Based on bilinear formulation of a (3 + 1)-dimensional soliton equation, lump solution and related interaction solutions are investigated. The lump solutions of the soliton equation are classified into three cases with nonsingularity conditions being ...
Xi-zhong Liu, Zhi-Mei Lou, Xian-Min Qian, Lamine Thiam   +3 more
doaj   +1 more source