Results 41 to 50 of about 11,033,514 (203)

Shifted nonlocal Kundu type equations: Soliton solutions

Partial Differential Equations in Applied Mathematics, 2022
We study the shifted nonlocal reductions of the integrable coupled Kundu type system. We then consider particular cases of this system; namely Chen–Lee–Liu, Gerdjikov–Ivanov, and Kaup–Newell systems.
Aslı Pekcan
doaj   +1 more source

Uncertainty Quantification of Analytical Solutions for the Nonlinear Space and Time Fractional Order ϕ4$$ {\phi}^4 $$ Equation Under Fuzziness

Engineering Reports, Volume 8, Issue 7, July 2026.
Analytical fuzzy soliton solutions of a modified space–time fractional ϕ4$$ {\phi}^4 $$ model are derived using EHFM, capturing memory effects and uncertainty. Results reveal diverse wave structures and show how fractional order and fuzziness significantly influence soliton amplitude, localization, and propagation, with heightened sensitivity near the ...
Mohsin Khalid, Neha Andaleeb Khalid, Baboucarr Ceesay, Zafar Iqbal   +3 more
wiley   +1 more source

Analytical and Numerical Soliton Solutions of the Shynaray II‐A Equation Using the G′G,1G$$ \left(\frac{G^{\prime }}{G},\frac{1}{G}\right) $$‐Expansion Method and Regularization‐Based Neural Networks

Mathematical Methods in the Applied Sciences, Volume 49, Issue 9, Page 9814-9831, June 2026.
ABSTRACT Nonlinear differential equations play a fundamental role in modeling complex physical phenomena across solid‐state physics, hydrodynamics, plasma physics, nonlinear optics, and biological systems. This study focuses on the Shynaray II‐A equation, a relatively less‐explored parametric nonlinear partial differential equation that describes ...
Aamir Farooq, H. W. A. Riaz, Sadique Rehman, M. Mamun Miah, Wen Xiu Ma   +4 more
wiley   +1 more source

Mixed Rational-Exponential Solutions to the Kadomtsev-Petviashvili-II Equation with a Self-Consistent Source

Advances in Mathematical Physics, 2020
Explicit rational-exponential solutions for the Kadomtsev-Petviashvili-II equation with a self-consistent source (KPIIESCS) are studied by the Hirota bilinear method.
Dan Su, Wen-Xiu Ma, Xuelin Yong, Yehui Huang   +3 more
doaj   +1 more source

Exact Soliton Solutions and Complex Dynamical Analysis of the Nonlinear Model Arising in Mathematical Physics

Advances in Mathematical Physics, Volume 2026, Issue 1, 2026.
This study investigates the (1 + 1)‐dimensional Sharma–Tasso–Olver–Burgers (STOB) equation, a nonlinear model arising in mathematical physics. The modified F‐expansion method is employed to derive a variety of exact soliton solutions, including trigonometric, hyperbolic, singular, periodic, and exponential forms.
Badr Saad T. Alkahtani, Shikha Binwal
wiley   +1 more source

Exploring soliton dynamics and wave interactions in an extended Kadomtsev-Petviashvili-Boussinesq equation

Ain Shams Engineering Journal
This research investigates the extended Kadomtsev-Petviashvili-Boussinesq equation, relevant in numerous scenarios involving dissipative media. To initiate the analysis, a Hirota bilinear form is applied, leading to a Bäcklund transformation for the ...
Nauman Raza, Adil Jhangeer, Zeeshan Amjad, Beenish Rani, Dumitru Baleanu   +4 more
doaj   +1 more source

Mixed Lump-Stripe Soliton Solutions to a New Extended Jimbo-Miwa Equation

Advances in Mathematical Physics, 2023
In this paper, the localized properties of lump and interaction solutions to a new extended Jimbo-Miwa (EJM) equation are studied. Based on the Hirota bilinear method and the test function method, the exact solutions of the EJM equation are discussed ...
Yinghui He
doaj   +1 more source

Diverse Soliton Structures of Induced Curves in the Integrable Coupled Kuralay Equation

Advances in Mathematical Physics, Volume 2026, Issue 1, 2026.
This study explores the integrable coupled Kuralay equation, which is widely utilized to study the motion of induced curves. In fields such as ferromagnetic materials, nonlinear optics, and optical fibers, soliton solutions of the Kuralay equation have emerged as significant recent developments.
Shah Muhammad, Muhammad Shakeel, Muhammad Abuzar, Tereda Seifu Neda, Ivan Giorgio   +4 more
wiley   +1 more source

Adaptive diagnosis of the bilinear mechanical systems [PDF]

, 2009
A generic adaptive approach is proposed for diagnosis of the bilinear mechanical systems. The approach adapts the free oscillation method for bilinearity diagnosis of mechanical systems.
Gorpinich, S, Gelman, Leonid, Thompson, C   +2 more
core   +1 more source

Combined Exp-Function Ansatz Method and Applications

Abstract and Applied Analysis, 2013
Our aim is to present a combined Exp-function ansatz method. This method replaces the traditional assumptions of multisolitons by a combination of the hyperbolic functions and triangle functions in Hirota bilinear forms of nonlinear evolution equation ...
Gui Mu, Jun Liu, Zhengde Dai, Xi Liu
doaj   +1 more source