Results 31 to 40 of about 40,241 (208)

The classification of all single travelling wave solutions to Calogero-Degasperis-Focas equation

, 2006
Under the travelling wave transformation, Calogero-Degasperis-Focas equation was reduced to an ordinary differential equation. Using a symmetry group of one-parameter, this ODE was reduced to a second order linear inhomogeneous ODE.
B. Li, C.P. Liu, C.S. Liu, C.S. Liu, C.S. Liu, C.S. Liu, C.S. Liu, E.G. Fan, E.G. Fan, L. Yang, Liu Cheng-Shi, R. Conte, S.Y. Lou   +12 more
core   +1 more source

Classification of Exact Solutions for Generalized Form of Equation

Abstract and Applied Analysis, 2013
The classification of exact solutions, including solitons and elliptic solutions, to the generalized equation by the complete discrimination system for polynomial method has been obtained.
Hasan Bulut
doaj   +1 more source

The classification of traveling wave solutions and superposition of multi-solutions to Camassa-Holm equation with dispersion

, 2006
Under the traveling wave transformation, Camassa-Holm equation with dispersion is reduced to an integrable ODE whose general solution can be obtained using the trick of one-parameter group.
Alber M S, Camassa R, Guo B L, Johnson R S, Li Y A, Liu C S, Liu C S, Liu C S, Liu Cheng-Shi, Schiff J   +9 more
core   +1 more source

The Classification of Traveling Wave Solutions to Space-Time Fractional Resonance Nonlinear Schrödinger Type Equation with a Special Kind of Fractional Derivative

Advances in Mathematical Physics, 2021
In this paper, the classification of single traveling wave solutions to a special kind of space-time fractional Schrödinger type equation with high-order nonlinearities is obtained by the complete discrimination system for polynomial method, where the ...
Lianguang Jia, Li Tang
doaj   +1 more source

Can closed timelike curves or nonlinear quantum mechanics improve quantum state discrimination or help solve hard problems?

, 2009
We study the power of closed timelike curves (CTCs) and other nonlinear extensions of quantum mechanics for distinguishing nonorthogonal states and speeding up hard computations. If a CTC-assisted computer is presented with a labeled mixture of states to
Charles H. Bennett, Debbie Leung, Graeme Smith, John A. Smolin, S. Aaronson   +4 more
core   +1 more source

Optical solitons and qualitative analysis of nonlinear Schrodinger equation in the presence of self steepening and self frequency shift

Results in Physics, 2022
In this manuscript, the optical solitons of nonlinear Schrödinger equation (NLSE) with cubic–quintic law nonlinearity, in the presence of self-frequency shift and self-steepening, has been studied.
Farwa Salman, Nauman Raza, Ghada Ali Basendwah, Mohammed M.M. Jaradat   +3 more
doaj   +1 more source

Exact wave patterns and chaotic dynamical behaviors of the extended (3+1)-dimensional NLSE

AIMS Mathematics
In this paper, exact wave propagation patterns and chaotic dynamical behaviors of the extended (3+1)-dimensional nonlinear Schrödinger equation are studied.
Ninghe Yang
doaj   +1 more source

Complete discrimination System method for finding exact solutions, dynamical properties of combined Zakharsov-Kuznetsov-modified Zakarsov-Kuznetsov equation

Alexandria Engineering Journal, 2023
The (2+1)-dimensional combined Zakharsov-Kuznetsov-modified Zakarsov-Kuznetsov (ZK-mZK) equation with constant co-efficients are solved by employing the complete discrimination system for polynomial Method (CDSPM).
Santanu Raut, Sandip Saha, Apurba Narayan Das, Pranabendra Talukder   +3 more
doaj   +1 more source

Classification of Exact Solutions for Some Nonlinear Partial Differential Equations with Generalized Evolution

Abstract and Applied Analysis, 2012
We obtain the classification of exact solutions, including soliton, rational, and elliptic solutions, to the one-dimensional general improved Camassa Holm KP equation and KdV equation by the complete discrimination system for polynomial method.
Yusuf Pandir, Yusuf Gurefe, Ugur Kadak, Emine Misirli   +3 more
doaj   +1 more source

Machine Learning‐Enhanced Analysis of Exosomal Surface Sialic Acid Using Surface‐Enhanced Raman Spectroscopy for Ovarian Cancer Diagnosis and Therapeutic Monitoring

Advanced Science, EarlyView.
Machine learning‐assisted surface‐enhanced Raman spectroscopy analysis of exosomal sialic acid for ovarian cancer diagnosis, as well as independent monitoring of exosomal sialic acid expression levels across different treatment periods, reveals a potential correlation with treatment response.
Lili Cong, Jiaqi Wang, Sijun Huang, Xiaxia Man, Yi Guo, Shuping Xu, Songling Zhang   +6 more
wiley   +1 more source