@article{AncoMohiuddinWolf, author = {Anco, Stephen and Mohiuddin, Mohammad and Wolf, Thomas}, title = {Traveling waves and conservation laws for complex mKdV-type equations}, volume = {219}, number = {2}, doi = {10.1016/j.amc.2012.06.061}, pages = {679 -- 698}, language = {en} } @article{AncoAliWolf, author = {Anco, Stephen and Ali, Sajid and Wolf, Thomas}, title = {Exact Solutions of Nonlinear Partial Differential Equations by the Method of Group Foliation Reduction}, series = {SIGMA 7}, journal = {SIGMA 7}, doi = {10.3842/SIGMA.2011.066}, abstract = {A novel symmetry method for finding exact solutions to nonlinear PDEs is illustrated by applying it to a semilinear reaction-diffusion equation in multi-dimensions. The method uses a separation ansatz to solve an equivalent first-order group foliation system whose independent and dependent variables respectively consist of the invariants and differential invariants of a given one-dimensional group of point symmetries for the reaction-diffusion equation. With this group-foliation reduction method, solutions of the reaction-diffusion equation are obtained in an explicit form, including group-invariant similarity solutions and travelling-wave solutions, as well as dynamically interesting solutions that are not invariant under any of the point symmetries admitted by this equation.}, language = {en} } @article{WolfEfimovskaya, author = {Wolf, Thomas and Efimovskaya, Olga}, title = {On Integrability of the Kontsevich Non-Abelian ODE System}, series = {Letters in Mathematical Physics}, volume = {100}, journal = {Letters in Mathematical Physics}, number = {2}, doi = {10.1007/s11005-011-0527-4}, pages = {161 -- 170}, language = {en} } @article{AncoAliWolf, author = {Anco, Stephen and Ali, Sajid and Wolf, Thomas}, title = {Symmetry analysis and exact solutions of semilinear heat flow in multi-dimensions}, series = {Journal of Mathematical Analysis and Applications}, volume = {379}, journal = {Journal of Mathematical Analysis and Applications}, number = {2}, doi = {10.1016/j.jmaa.2011.01.073}, pages = {748 -- 763}, language = {en} } @article{Wolf, author = {Wolf, Thomas}, title = {A Dynamical Systems Approach for Static Evaluation in Go}, series = {Computational Intelligence and AI in Games, IEEE Transactions on}, volume = {3}, journal = {Computational Intelligence and AI in Games, IEEE Transactions on}, number = {2}, doi = {10.1109/TCIAIG.2011.2141669}, pages = {129 -- 141}, abstract = {In the paper, arguments are given as to why the concept of static evaluation has the potential to be a useful extension to Monte Carlo tree search. A new concept of modeling static evaluation through a dynamical system is introduced and strengths and weaknesses are discussed. The general suitability of this approach is demonstrated.}, language = {en} } @article{HussinKiselevKrutovetal., author = {Hussin, V. and Kiselev, A. V. and Krutov, A.O. and Wolf, Thomas}, title = {N=2 Supersymmetric a=4 - Korteweg-de Vries hierarchy derived via Gardner's deformation of Kaup-Bousinesq equation}, series = {Journal of Mathematical Physics}, volume = {51}, journal = {Journal of Mathematical Physics}, doi = {10.1063/1.3447731}, language = {en} } @article{Wolf, author = {Wolf, Thomas}, title = {Positions in the Game of Go as Complex Systems}, series = {Proceedings of 2009 IEEE Toronto International Conference (TIC-STH 2009) - Science and Technology for Humanity}, journal = {Proceedings of 2009 IEEE Toronto International Conference (TIC-STH 2009) - Science and Technology for Humanity}, isbn = {978-1-4244-3878-5}, language = {en} } @article{TsarevWolf, author = {Tsarev, Sergey and Wolf, Thomas}, title = {Hyperdeterminants as integrable discrete systems}, series = {Journal of Physics A: Mathematical and Theoretical}, volume = {42}, journal = {Journal of Physics A: Mathematical and Theoretical}, doi = {/10.1088/1751-8113/42/45/454023}, language = {en} } @article{OdesskiiWolf, author = {Odesskii, Alexander and Wolf, Thomas}, title = {Compatible quadratic Poisson brackets related to a family of elliptic curves}, series = {Journal of Geometry and Physics}, volume = {63}, journal = {Journal of Geometry and Physics}, number = {0}, issn = {0393-0440}, pages = {107 -- 117}, language = {en} } @article{AncoMacNaughtonWolf, author = {Anco, Stephen and MacNaughton, Steven A. and Wolf, Thomas}, title = {Conservation laws and symmetries of quasilinear radial wave equations in multi-dimensions}, series = {Journal of Mathematical Physics}, volume = {53}, journal = {Journal of Mathematical Physics}, number = {5}, doi = {10.1063/1.4711814}, language = {en} } @article{WolfSchrueferWebster, author = {Wolf, Thomas and Schr{\"u}fer, Eberhard and Webster, Kenneth}, title = {Solving large linear algebraic systems in the context of integrable non-abelian Laurent ODEs}, series = {Programming and Computer Software}, volume = {38}, journal = {Programming and Computer Software}, number = {2}, issn = {0361-7688}, doi = {10.1134/S0361768812020065}, pages = {73 -- 83}, language = {en} } @article{EulerEulerWolf, author = {Euler, Marianna and Euler, Norbert and Wolf, Thomas}, title = {The Two-Component Camassa-Holm Equations CH(2,1) and CH(2,2): First-Order Integrating Factors and Conservation Laws}, series = {Journal of Nonlinear Mathematical Physics}, volume = {19}, journal = {Journal of Nonlinear Mathematical Physics}, number = {1}, doi = {10.1142/S1402925112400025}, pages = {13 -- 22}, abstract = {Recently, Holm and Ivanov, proposed and studied a class of multi-component generalizations of the Camassa-Holm equations [D. D. Holm and R. I. Ivanov, Multi-component generalizations of the CH equation: geometrical aspects, peakons and numerical examples, J. Phys A: Math. Theor. 43 (2010) 492001 (20pp)]. We consider two of those systems, denoted by Holm and Ivanov by CH(2,1) and CH(2,2), and report a class of integrating factors and its corresponding conservation laws for these two systems. In particular, we obtain the complete set of first-order integrating factors for the systems in Cauchy-Kovalevskaya form and evaluate the corresponding sets of conservation laws for CH(2,1) and CH(2,2).}, language = {en} }