Results 41 to 50 of about 177,748 (281)

Bilinear Form and Two Bäcklund Transformations for the (3+1)-Dimensional Jimbo-Miwa Equation

Abstract and Applied Analysis, 2015
With Bell polynomials and symbolic computation, this paper investigates the (3+1)-dimensional Jimbo-Miwa equation, which is one of the equations in the Kadomtsev-Petviashvili hierarchy of integrable systems.
He Li, Yi-Tian Gao
doaj   +1 more source

Quantum Interaction $\phi^4_4$: the Construction of Quantum Field defined as a Bilinear Form

, 1996
We construct the solution $\phi(t,{\bf x})$ of the quantum wave equation $\Box\phi + m^2\phi + \lambda:\!\!\phi^3\!\!: = 0$ as a bilinear form which can be expanded over Wick polynomials of the free $in$-field, and where $:\!\phi^3(t,{\bf x})\!: $ is ...
Aizenman M., Aizenman M., Albeverio S., Albeverio S., Albeverio S., Albeverio S., Baez J., Baez J. C., Baumann K., Baumann K., Callaway D., Edward P. Osipov, Fröhlich J., Kirillov A. I, Kirillov A. I., Kirillov A. I., Kirillov A. I., Klein A., Kristensen P., Kristensen P., Kristensen P., Morawetz C. S., Morawetz C. S., Osipov E. P., Paneitz S. M., Pedersen J., Raczka R., Raczka R., Segal I., Segal I., Strauss W. A.   +30 more
core   +1 more source

Full field algebras

, 2006
We solve the problem of constructing a genus-zero full conformal field theory (a conformal field theory on genus-zero Riemann surfaces containing both chiral and antichiral parts) from representations of a simple vertex operator algebra satisfying ...
Huang, Yi-Zhi, Kong, Liang
core   +1 more source

Lax integrability and soliton solutions of the (2 + 1)- dimensional Kadomtsev– Petviashvili– Sawada–Kotera– Ramani equation

Frontiers in Physics, 2022
In this paper, a new (2 + 1)-dimensional nonlinear evolution equation is investigated. This equation is called the Kadomtsev–Petviashvili–Sawada–Kotera–Ramani equation, which can be seen as the two-dimensional extension of the Korteweg–de Vries–Sawada ...
Baoyong Guo
doaj   +1 more source

Supersymmetric Modified Korteweg-de Vries Equation: Bilinear Approach

, 2004
A proper bilinear form is proposed for the N=1 supersymmetric modified Korteweg-de Vries equation. The bilinear B\"{a}cklund transformation of this system is constructed.
Carstea A S, Carstea A S, Ghosh S, Hirota R, Hirota R, Liu Q P, Meng-Xia Zhang, Oevel W, Q P Liu, Xing-Biao Hu, Yamanaka I   +10 more
core   +3 more sources

On classical state space realizability of bilinear inout-output differential equations [PDF]

, 2006
This paper studies the realizability property of continuous-time bilinear i/o equations in the classical state space form. Constraints on the parameters of the bilinear i/o model are suggested that lead to realizable models. The paper proves that the 2nd
Kotta, P., Kotta, U., Mullari, T., Zinober, A.S.I.   +3 more
core   +1 more source

Exact solutions of the classical Boussinesq system

Arab Journal of Basic and Applied Sciences, 2018
In this paper, we study exact solutions of the classical Boussinesq (CB) system, which describes propagations of shallow water waves. By using the bilinear form, with exponential expansions, we obtain solitary wave solutions of the CB system.
Hong-Qian Sun, Ai-Hua Chen
doaj   +1 more source

Orthogonal representations of twisted forms of SL2

, 2007
For every absolutely irreducible orthogonal representation of a twisted form of SL2 over a field of characteristic zero, we compute the "unique" symmetric bilinear form that is invariant under the group action. We also prove the analogous result for Weyl
Garibaldi, Skip
core   +2 more sources

Dynamics of multi-solitons, multi-lumps and hybrid solutions in (2+1)-dimensional Korteweg–de Vries–Sawada–Kotera–Ramani equation

Results in Physics, 2022
The (2+1)-dimensional Korteweg–de Vries–Sawada–Kotera–Ramani (KdVSKR) equation is proposed by extending one dimension of the (1+1)-dimensional KdVSKR equation.
Chen Zhu, Chun-Xiao Long, Yi-Ting Zhou, Peng-Fei Wei, Bo Ren, Wan-Li Wang   +5 more
doaj   +1 more source

Evaluating Energy Absorption Performance of Filled Lattice Structures

Advanced Engineering Materials, EarlyView.
Maximum stress must be considered to robustly evaluate energy absorber designs. This approach was applied to compare all types of absorbers in a single Ashby diagram and determine the utility of filling lattice voids with a second material. High‐performance fillers can improve the performance of lattices that are limited by buckling or catastrophic ...
Christian Bonney, William P. King, Iwona Jasiuk   +2 more
wiley   +1 more source