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Applications of the New Compound Riccati Equations Rational Expansion Method and Fan's Subequation Method for the Davey-Stewartson Equations
Published 2010-01-01“…Many new exact solutions of the Davey-Stewartson (DS) equations including more general soliton solutions, triangular solutions, and double-periodic solutions are constructed by symbolic computation.</p>…”
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182
A Symbolic Algorithm for Solving Doubly Bordered k-Tridiagonal Interval Linear Systems
Published 2023-08-01“…Our approach combines symbolic computation techniques with interval arithmetic to provide rigorous solutions in the form of tight interval enclosures. …”
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183
Solution of Fifth Order Caudrey-Dodd-Gibbon-Sawada-Kotera Equation by the Alternative (G'/G)-Expansion Method with Generalized Riccati Equation
Published 2014-08-01“…In the present paper, the alternative (G'/G)-expansion is used to find new and precise solutions of Caudrey-Dodd-Gibbon-Sawada-Kotera equation with the assist of symbolic computation Maple, in which the generalized Riccati equation is used as an auxiliary equation. …”
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184
The Summation Package Sigma: Underlying Principles and a Rhombus Tiling Application
Published 2004-01-01Get full text
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185
Applications of the New Compound Riccati Equations Rational Expansion Method and Fan's Subequation Method for the Davey-Stewartson Equations
Published 2010-01-01“…Many new exact solutions of the Davey-Stewartson (DS) equations including more general soliton solutions, triangular solutions, and double-periodic solutions are constructed by symbolic computation.…”
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186
A Heterogeneous Duopoly Game under an Isoelastic Demand and Diseconomies of Scale
Published 2022-08-01“…By approaches of symbolic computation, we prove that diseconomies of scale have an effect of stabilizing the game provided that the cost parameters are large enough. …”
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187
Line-soliton, lump and interaction solutions to the (2+1)-dimensional Hirota-Satsuma-Ito equation with time-dependent via Hirota bilinear forms
Published 2023-10-01“…Based on the bilinear formalism and with the aid of symbolic computation, we obtain line-soliton, lump, one-lump-one-stripe and one-lump-one-soliton using various ansatze’s function. …”
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188
Collision phenomena between lump and kink wave solutions to a (3+1)-dimensional Jimbo–Miwa-like model
Published 2022-06-01“…Dynamic features of the acquired solutions are depicted through various attractive diagrams using the symbolic computation software Maple 18.…”
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189
Graphical Reasoning in Compact Closed Categories for Quantum Computation
Published 2009“…We illustrate the framework by instantiating it for a graphical language of quantum computation and show how this can be used to perform symbolic computation.…”
Journal article -
190
Extending Graphical Representations for Compact Closed Categories with Applications to Symbolic Quantum Computation
Published 2008“…We illustrate the framework by instantiating it for a graphical language of quantum computation and show how this can be used to perform symbolic computation.…”
Conference item -
191
Exact solutions to the KDV-Burgers equation with forcing term using Tanh-Coth method
Published 2017“…The method with the help of symbolic computation tool box provides a systematic way of solving many physical models involving nonlinear partial differential equations in mathematical physics.…”
Conference or Workshop Item -
192
Recursive Elimination Method in Moving Horizon Estimation for a Class of Nonlinear Systems and Non-Gaussian Noise
Published 2020-11-01“…By this method, most of the computations to solve an optimal filtering problem can be carried out off-line by using symbolic computation based on the results from algebraic geometry. …”
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193
Bifurcation analysis and exact solutions for a class of generalized time-space fractional nonlinear Schrödinger equations
Published 2023-06-01“…After utilizing the general mapping deformation method and theory of planar dynamical systems with the aid of symbolic computation, abundant new exact complex doubly periodic solutions, solitary wave solutions and rational function solutions are obtained. …”
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194
Non-singular complexiton, singular complexiton and the breather wave solutions to the (2 + 1)-dimensional Sawada-Kotera equation
Published 2024-02-01“…Finally, the breather wave solutions (BWSs) of the sin-cosh type are explored through the symbolic computation and test function method. The dynamics of the corresponding extracted solutions are displayed graphically for showing the physical properties. …”
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195
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Dynamics of complexiton, Y-type soliton and interaction solutions to the (3 + 1)-dimensional Kudryashov-Sinelshchikov equation in liquid with gas bubbles
Published 2023-11-01“…Finally, two different types of the interaction solutions (ISs) are also explored by exerting the test function method and symbolic computation. The graphical representations of the corresponding solutions are presented to reveal the dynamical characteristics. …”
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197
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Computational logic and the social
Published 2014“…‘Crowdsourcing’ pulls together diverse experts to solve problems; symbolic computation tackles huge routine calculations; and computers, using programs designed to verify hardware, check proofs that are just too long and complicated for any human to comprehend. …”
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199
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