Results 51 to 60 of about 8,969,614 (208)
Exact Solutions of the Equations of Relativistic Hydrodynamics Representing Potential Flows
Symmetry, Integrability and Geometry: Methods and Applications, 2007 We use a connection between relativistic hydrodynamics and scalar field theory to generate exact analytic solutions describing non-stationary inhomogeneous flows of the perfect fluid with one-parametric equation of state (EOS) $p=p(varepsilon)$.
Maxim S. Borshch, Valery I. Zhdanov
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Exact solutions to the Erdős-Rothschild problem
Forum of Mathematics, SigmaLet $\boldsymbol {k} := (k_1,\ldots ,k_s)$ be a sequence of natural numbers. For a graph G, let $F(G;\boldsymbol {k})$ denote the number of colourings of the edges of G with colours $1,\dots ,s$ such that, for every $c \in \{1 ...
Oleg Pikhurko, Katherine Staden
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Fractional solitons: New phenomena and exact solutions
Frontiers in Physics, 2023 The fractional solitons have demonstrated many new phenomena, which cannot be explained by the traditional solitary wave theory. This paper studies some famous fractional wave equations including the fractional KdV–Burgers equation and the fractional ...
Huajun Zeng +3 more
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On Solving the Minimum Spanning Tree Problem with Conflicting Edge Pairs
AlgorithmsThe Minimum Spanning Tree with Conflicting Edge Pairs is a generalization that adds conflict constraints to a classical optimization problem on graphs used to model several real-world applications.
Roberto Montemanni, Derek H. Smith
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Exact solutions of (deformed) Jackiw–Teitelboim gravity
European Physical Journal C: Particles and Fields, 2021 It is well known that Jackiw–Teitelboim (JT) gravity posses the simplest theory on 2-dimensional gravity. The model has been fruitfully studied in recent years.
Davood Momeni, Phongpichit Channuie
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A Compact Model for the Clustered Orienteering Problem
LogisticsBackground: The Clustered Orienteering Problem is an optimization problem faced in last-mile logistics. The aim is, given an available time window, to visit vertices and to collect as much profit as possible in the given time.
Roberto Montemanni, Derek H. Smith
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New exact solutions for Kudryashov–Sinelshchikov equation
Advances in Difference Equations, 2018 In this paper, we firstly change the auxiliary second order ordinary differential equation in the G′G $\frac{G'}{G}$-polynomial expansion method to the Riccati equation.
Junliang Lu
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On the sets of exact and approximate solutions
Journal of Mathematical Analysis and Applications, 2003 The authors are concerned with the size of the set of solutions of a functional equation in relation to the size of the set of approximate solutions to the same equation. In the case of linear equations of a certain type (such as Cauchy or other generalized polynomial equations) or linear inequalities (such as convexity), they show that the sets of ...
Tabor, Jacek, Tabor, Józef
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Exact solutions of the classical Boussinesq system
Arab Journal of Basic and Applied Sciences, 2018 In this paper, we study exact solutions of the classical Boussinesq (CB) system, which describes propagations of shallow water waves. By using the bilinear form, with exponential expansions, we obtain solitary wave solutions of the CB system.
Hong-Qian Sun, Ai-Hua Chen
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Exact solutions of (3 + 1)-dimensional generalized KP equation arising in physics
, 2017 In this work, we have obtained some exact solutions to (3 + 1)-dimensional generalized KP Equation. The improved tan ϕ ( ξ ) 2 -expansion method has been introduced to construct the exact solutions of nonlinear evolution equations. The obtained solutions
S. Mohyud-Din +3 more
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