Results 11 to 20 of about 292 (78)
Solitons of the (2+2)-dimensional Toda lattice [PDF]
Journal of Physics A, 52 (2019) 045202, 2018 We use the generalized Cauchy matrix approach to derive the N-soliton solutions for the (2+2)-dimensional Toda lattice.
arxiv +1 more source
Journal of Ocean Engineering and Science, 2023 This article considers time-dependent variable coefficients (2+1) and (3+1)-dimensional extended Sakovich equation. Painlevé analysis and auto-Bäcklund transformation methods are used to examine both the considered equations.
Shailendra Singh, S. Saha Ray
doaj
Solitary solutions to a metastasis model represented by two systems of coupled Riccati equations
Journal of King Saud University: Science, 2023 Solitary solutions to a two-tumor metastasis model represented by a system of multiplicatively coupled Riccati equations are considered in this paper. The interaction between tumors is modelled by a one-sided diffusive coupling when one coupled Riccati ...
I. Timofejeva +5 more
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Construction of coupled Harry Dym hierarchy and its solutions from Stäckel systems [PDF]
Nonlinear Analysis: Theory, Methods & Applications, Volume 73,
Issue 9, 1 November 2010, Pages 3004-3017, 2010 In this paper we show how to construct the coupled (multicomponent) Harry Dym (cHD) hierarchy from classical St\"ackel separable systems. Both nonlocal and purely differential parts of hierarchies are obtained. We also construct various classes of solutions of cHD hierarchy from solutions of corresponding St\"ackel systems.
arxiv +1 more source
, 2015 In this paper, we examine the existence of solitary waves to the following equation ut + a(u )x + (bH ut + uyy)x = 0, where H is the Hilbert transform with respect to x, and a and b are real numbers, with b > 0, via a variant of the mountain pass lemma ...
F. S. Salazar, M. Higuera
semanticscholar +1 more source
J. Math. Phys. 52, 083516 (2011), 2011 We present some nonlinear partial differential equations in 2+1-dimensions derived from the KdV Equation and its symmetries. We show that all these equations have the same 3-soliton structures. The only difference in these solutions are the dispersion relations. We also showed that they pass the Painlev\'e test.
arxiv +1 more source
Plenty of analytical and semi-analytical wave solutions of shallow water beneath gravity
Journal of Ocean Engineering and Science, 2022 This article studies novel soliton wave solutions of the nonlinear fractional ill-posed Boussinesq (NLFIPB) dynamic wave equation by applying the extended Riccati-expansion (ERE) method.
Mostafa M.A. Khater, Samir A. Salama
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SOLUTIONS OF THE NONLINEAR DIFFERENTIAL EQUATIONS BY USE OF SYMMETRIC FIBONACCI FUNCTIONS
, 2013 Based on Kudryashov’s method and the Fibonacci or Lucas Riccati equation method, some new solutions of a non-integrable nonlinear partial differential equation are found. Also, some basic properties of symmetric Fibonacci and Lucas functions are given in
Y. Pandir, Y. A. Tandogan
semanticscholar +1 more source
Journal of Ocean Engineering and Science, 2022 In this paper we are interested in investigating the physical shape-changed propagations to the generalized Equal-Width equation through studying the explicit solutions of Wazwaz-Benjamin-Bona-Mahony model.
Imad Jaradat, Marwan Alquran
doaj
Journal of Taibah University for Science, 2023 The reductive perturbation technique is used to obtain the Modified KP equation at critical densities distinguished by the MKPE in plasma ion pair with fast electron positron. The new structures reveal that super-solitary and period waveforms are derived
H. G. Abdelwahed
doaj +1 more source