Results 61 to 70 of about 8,378 (169)

On the Dispersive Optical Pulses in Fiber Optics of the Conformable (2 + 1)‐Dimensional Hirota–Maccari System

Journal of Mathematics, Volume 2026, Issue 1, 2026.
The Hirota–Maccari (HM) system is a fundamental model in wave propagation that has been widely utilized to investigate complex nonlinear phenomena in nonlinear optics, optical communications, and mathematical physics. The HM system sheds light on critical insights into soliton dynamics, wave interactions, and other nonlinear effects.
Fei Li, Mesut Balibey, Shafqat Ur Rehman, Muhammad Bilal, Smritijit Sen   +4 more
wiley   +1 more source

Potential Nonclassical Symmetries and Solutions of Fast Diffusion Equation

, 2006
The fast diffusion equation $u_t=(u^{-1}u_x)_x$ is investigated from the symmetry point of view in development of the paper by Gandarias [Phys. Lett. A 286 (2001) 153-160].
Ivanova, Nataliya M., Popovych, Roman O., Vaneeva, Olena O.   +2 more
core   +3 more sources

Generating Complex Potentials with Real Eigenvalues in Supersymmetric Quantum Mechanics [PDF]

, 2001
In the framework of SUSYQM extended to deal with non-Hermitian Hamiltonians, we analyze three sets of complex potentials with real spectra, recently derived by a potential algebraic approach based upon the complex Lie algebra sl(2, C).
B. BAGCHI, Bagchi B., Barut A. O., C. QUESNE, Darboux G., Englefield M. J., S. MALLIK, Whittaker E. T.   +7 more
core   +3 more sources

The Dynamical Landscape of the Negative‐Order (3+1)‐Dimensional Calogero–Bogoyavlenskii–Schiff Equation

Journal of Mathematics, Volume 2026, Issue 1, 2026.
A new negative‐order form of the (3 + 1)‐dimensional Calogero–Bogoyavlenskii–Schiff equation is examined in this investigation. This equation plays an important role in accurately describing the thermodynamic properties of mixtures, particularly in chemical engineering applications.
Ulviye Demirbilek, Jan Muhammad, Arzu Akbulut, Usman Younas, Taha Radwan, Karim K. Ahmed, Dimitri Mugnai   +6 more
wiley   +1 more source

New traveling wave solutions of modified Burgers’ equations

Partial Differential Equations in Applied Mathematics
In this work, we investigate the modified Burgers’ equations using the hyperbolic tangent–cotangent (tanh–coth) method. A main challenge addressed is the non-integer value of the parameter μ, which requires a specific transformation to facilitate ...
Osama Ala’yed
doaj   +1 more source

$A_{2}^{(2)}$ Gaudin model and its associated Knizhnik-Zamolodchikov equation

, 2004
The semiclassical limit of the algebraic Bethe Ansatz for the Izergin-Korepin 19-vertex model is used to solve the theory of Gaudin models associated with the twisted $A_{2}^{(2)}$ R-matrix.
A Lima-Santos, Abdalla E, Babujian H M, Babujian H M, Baxter R J, Belavin A A, Cherednik I, Cornwell J F, Faddeev L D, Gaudin M, Izergin A G, Jimbo M, Korepin V E, Lima-Santos A, Reshetikhin N Varchenko A, Schechtman V, Semenov-Tyan-Shanskii M A, Tarasov V O, V Kurak   +18 more
core   +1 more source

Large distance asymptotic behavior of the emptiness formation probability of the XXZ spin-1/2 Heisenberg chain [PDF]

, 2002
Using its multiple integral representation, we compute the large distance asymptotic behavior of the emptiness formation probability of the XXZ spin-1/2 Heisenberg chain in the massless regime.Comment: LPENSL-TH-10, 8 ...
Boos H E, J M Maillet, Jimbo M, Jimbo M, Kitanine N, Kitanine N, Korepin V E, N A Slavnov, N Kitanine, Razumov A V, Shiroishi M, V Terras   +11 more
core   +4 more sources

Exact Solitary Wave Solutions in Nonlinear Carbon Nanotube Composite Beams on Viscoelastic Foundations Under M‐Truncated Derivative

Journal of Mathematics, Volume 2026, Issue 1, 2026.
In this study, the nonlinear partial differential equation that governs the free vibration of a carbon nanotube composite beam is analytically investigated using the truncated M‐fractional derivative. This model is a beam supported by a nonlinear viscoelastic base and reinforced by carbon nanotubes.
Nadia Javed, Nauman Ahmed, Muhammad Zafarullah Baber, Tukur Abdulkadir Sulaiman, Taha Radwan, Abeer S. Khalifa, Karim K. Ahmed, Dimitri Mugnai   +7 more
wiley   +1 more source

On the relations between some well-known methods and the projective Riccati equations

Open Physics, 2020
Solving nonlinear evolution equations is an important issue in the mathematical and physical sciences. Therefore, traditional methods, such as the method of characteristics, are used to solve nonlinear partial differential equations. A general method for
Akçağıl Şamil
doaj   +1 more source

Open String Descriptions of Space-like Singularities in Two Dimensional String Theory [PDF]

, 2007
The matrix model formulation of two dimensional string theory has been shown to admit time dependent classical solutions whose closed string duals are geodesically incomplete space-times with space-like boundaries.
Das, Sumit R., Santos, Luiz H.
core   +4 more sources