Results 1 to 10 of about 133,722 (289)
Integrable cosmological models with non-minimal coupling and bounce solutions
EPJ Web of Conferences, 2016 We remind the way to obtain integrable models with non-minimally coupled scalar fields. We are interesting to models with bounce solutions and compare bounce solutions in two known integrable models. We show that only one model has a bounce solution that
Pozdeeva Ekaterina, Vernov Sergey
doaj +3 more sources
Overview of the Kadomtsev–Petviashvili-hierarchy reduction method for solitons
Partial Differential Equations in Applied Mathematics, 2022 The Kadomtsev–Petviashvili (KP) hierarchy reduction method is a prominent direct method for deriving explicit solutions to integrable equations. This method is based on Hirota’s bilinear formulation of integrable systems, as well as the observation that ...
Bo Yang, Jianke Yang
doaj +1 more source
On classical symmetries of ordinary differential equations related to stationary integrable partial differential equations [PDF]
Opuscula Mathematica, 2021 We study the relationship between the solutions of stationary integrable partial and ordinary differential equations and coefficients of the second-order ordinary differential equations invariant with respect to one-parameter Lie group.
Ivan Tsyfra
doaj +1 more source
Partial Differential Equations in Applied Mathematics, 2022 The complex coupled integrable dispersionless (CID)system is an important system. It has been shown that complex CID equation is gauge equivalent to the Pohlmeyer–Lund–Regge model (a complex sine-Gordon equation) and can also be transformed to the ...
Caiqin Song, Chen-Chen Fu, Zuo-Nong Zhu
doaj +1 more source
The agreement between novel exact and numerical solutions of nonlinear models
Partial Differential Equations in Applied Mathematics, 2023 Nonlinear models (NLMs), being an important topic in mathematical physics, have attracted a lot of attention in the international research community because they have numerous uses in human life. These NLMs are typically implemented to illuminate various
Md. Nur Alam, S. M. Rayhanul Islam
doaj +1 more source
On solutions of some delay Volterra integral problems on a half-line
Nonlinear Analysis, 2021 In this paper, we study the existence of a.e. monotonic solutions of some general delay integral problems for both fractional and integer orders in the space of Lebesgue integrable functions on the interval R+ = [0;1) and in the space of locally ...
Mohamed M.A. Metwali, Kinga Cichoń
doaj +1 more source
Mathematics, 2022 Boundedness is an essential feature of the solutions for various mathematical and numerical models in the natural sciences, especially those systems in which linear or nonlinear preservation or stability features are fundamental.
Brian Villegas-Villalpando +2 more
doaj +1 more source
Open Physics, 2023 In this article, first integral method (FIM) is used to acquire the analytical solutions of (3+1)-D Wazwaz–Benjamin–Bona–Mahony and (2+1)-D cubic Klein–Gordon equation. New soliton solutions are obtained, such as solitons, cuspon, and periodic solutions.
Javeed Shumaila +4 more
doaj +1 more source
Examples and Counterexamples, 2022 Herein, the Painlevé analysis and Bäcklund transformation for the (3+1) dimensional Burger equation are presented. Using this analysis, it is shown that the equation under consideration non-integrable.
M.H.M. Moussa, Zidan M. Abd Al-Halim
doaj +1 more source
Breather Wave and Traveling Wave Solutions for A (2 + 1)-Dimensional KdV4 Equation
Advances in Mathematical Physics, 2022 In this paper, an integrable (2 + 1)-dimensional KdV4 equation is considered. By considering variable transformation and Bell polynomials, an effective and straightforward way is presented to derive its bilinear form.
Sixing Tao
doaj +1 more source