Results 91 to 100 of about 3,238 (183)

All the lowest order PDE for spectral gaps of Gaussian matrices

, 2010
Tracy-Widom (TW) equations for one-matrix unitary ensembles (UE) (equivalent to a particular case of Schlesinger equations for isomonodromic deformations) are rewritten in a general form which allows one to derive all the lowest order equations (PDE) for
Rumanov, Igor
core  

Abundant Symmetry-Breaking Solutions of the Nonlocal Alice–Bob Benjamin–Ono System

Complexity, 2020
The Benjamin–Ono equation is a useful model to describe the long internal gravity waves in deep stratified fluids. In this paper, the nonlocal Alice–Bob Benjamin–Ono system is induced via the parity and time-reversal symmetry reduction. By introducing an
Wang Shen, Zheng-Yi Ma, Jin-Xi Fei, Quan-Yong Zhu, Jun-Chao Chen   +4 more
doaj   +1 more source

Analyzing Soliton Solutions of the (n+1)-dimensional generalized Kadomtsev–Petviashvili equation: Comprehensive study of dark, bright, and periodic dynamics

Results in Physics
This paper investigates the (n+1) dimensional integrable extension of the Kadomtsev–Petviashvili (KP) equation. The study focuses on extracting Auto-Bäcklund transformations for the given model using the extended homogeneous balance (HB) method in ...
Nauman Raza, Ahmed Deifalla, Beenish Rani, Nehad Ali Shah, Adham E. Ragab   +4 more
doaj   +1 more source

Shallow-Water Wave Dynamics: Butterfly Waves, X-Waves, Multiple-Lump Waves, Rogue Waves, Stripe Soliton Interactions, Generalized Breathers, and Kuznetsov–Ma Breathers

Fractal and Fractional
A nonlinear (3+1)-dimensional nonlinear Geng equation that can be utilized to explain the dynamics of shallow-water waves in fluids is given special attention.
Sarfaraz Ahmed, Ujala Rehman, Jianbo Fei, Muhammad Irslan Khalid, Xiangsheng Chen   +4 more
doaj   +1 more source

The m-component super KP hierarchy in Kac-van de Leur version

Physics Letters B
In this paper, the m-component super KP hierarchy in form of free superfermions is constructed by Clifford superalgebra. The super bosonic counterpart of this hierarchy is described by using the vertex operators.
Huizhan Chen
doaj   +1 more source

Analysis of dynamics of fusion solitons of the generalized (3 +1)−Kadomtsev–Petviashvili equation [PDF]

Journal of Mahani Mathematical Research
The aim of this paper is to introduce a generalized $(3+1)$-Kadomtsev-Petviashvili equation which is used to describe waves in a ferromagnetic medium.
Muhammad Abubakar Isah, Asif Yokus
doaj   +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

Generalized Bilinear Differential Operators, Binary Bell Polynomials, and Exact Periodic Wave Solution of Boiti-Leon-Manna-Pempinelli Equation

Abstract and Applied Analysis, 2014
We introduce how to obtain the bilinear form and the exact periodic wave solutions of a class of (2+1)-dimensional nonlinear integrable differential equations directly and quickly with the help of the generalized Dp-operators, binary Bell polynomials ...
Huanhe Dong, Yanfeng Zhang, Yongfeng Zhang, Baoshu Yin   +3 more
doaj   +1 more source

Rational solutions and some interactions phenomena of a (3+1)-dimensional BLMP equation in incompressible fluids: A Hirota bilinear method and dimensionally reduction approach

Results in Physics
This manuscript addresses the rational solutions of a (3+1)-dimensional Boiti–Leon–Manna–Pempinelli (BLMP) equation, emphasizing key aspects in response to specific questions.
Mati ur Rahman, Mohammad Alqudah, Meraj Ali Khan, Bent Elmina Haroun Ali, Shabir Ahmad, Emad E. Mahmoud, Mei Sun   +6 more
doaj   +1 more source

Lax Pair, Hirota Bilinear Form and Soliton Solutions of the Seventh-Order Kaup-Kupershmidt Equation in Plasma Physics [PDF]

Proceedings of the 2017 International Conference on Mechanical, Electronic, Control and Automation Engineering (MECAE 2017), 2017
Wenguang Zhang, Yuping Zhang
openaire   +1 more source