Mathematical Physics
Mathematical Physics in Diffusion Problems
... As far as the sink and source of a material is nonexistent in the diffusion system, the Gauss divergence theory shows that the general F2 law satisfies the material conservation law even if a driving force affects the ...
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Exact Traveling Wave Solutions of Nonlinear PDEs in Mathematical Physics
... in mathematical physics via the variant Boussinesq equations and the coupled KdV equations by using the extended mapping method and auxiliary equation ...
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Qualitative behaviors of the high order Lorenz Stenflo chaotic system arising in mathematical physics describing the atmospheric acoustic gravity waves
... The boundedness of chaotic systems plays an important role in investigating the stability of the equilibrium, estimating the Lyapunov dimension of attractors, the Hausdorff dimension of attractors, the existence of ...
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The exp( j(x)) Method and Its Applications for Solving Some Nonlinear Evolution Equations in Mathematical Physics
... The exp ( −ϕ ξ ( ) ) method is employed to find the exact traveling wave solutions involving para- meters for nonlinear evolution equations. When these parameters are taken to be special values, the solitary wave ...
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A new fractional sub-equation method for solving the space-time fractional differential equations in mathematical physics
... Abstract In this paper, a new fractional sub-equation method is proposed for finding exact solutions of fractional partial differential equations (FPDEs) in the sense of modi- fied Riemann-Liouville derivative. With the ...
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Modified Simple Equation Method and its Applications for some Nonlinear Evolution Equations in Mathematical Physics
... The modified simple equation method has been applied in this paper to find the exact traveling wave solutions and then the solitary wave solutions of two nonlinear evolution equations, namely, the (1+1)-dimensional ...
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Bilinear approach to soliton and periodic wave solutions of two nonlinear evolution equations of Mathematical Physics
... In the present paper, we investigate the (2 + 1)-dimensional potential KP equation and (3 + 1)-dimensional potential-YTSF equation based on the Hirota method and the Riemann theta function. As a result, we obtain the ...
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Exact Traveling Wave Solutions for Modified Liouville Equation Arising in Mathematical Physics and Biology
... [19] M. A. Noor, K. I. Noor, E. Al-Said, and M. Waseem, Some new iterative methods for nonlinear equations, Mathematical Problems in Engineering, Article ID 198943, 12 pages, 2010. [20] E. H. M. Zahran and Mostafa ...
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RETRACTED: The Modified Simple Equation Method and Its Applications in Mathematical Physics and Biology
... -expansion method [23]-[26], the modified simple equation method [27]-[32] and so on. The objective of this article is to apply the modified simple equation method for finding the exact traveling wave solution of ...
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The Traveling Wave Solutions for Some Nonlinear PDEs in Mathematical Physics
... in physics -where applications extend over magneto fluid dynamics, water surface gravity waves, electromagnetic radiation reactions, and ion acoustic waves in plasma, just to name a few- but also in biology, ...
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Discussion on the Energy Parallax and the Relationship to Perturbation Theory in Mathematical Physics
... This work is a discussion on the energy parallax theory developed in [1] [2] based on the multiplicity of the solutions theorem. This theory is compared with the perturbation theory in mathematical physics. ...
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47 th Symposium on Mathematical Physics
... Institute of Physics, Nicolaus Copernicus University Reports on Mathematical Physics, The Editors Open Systems & Information Dynamics, The Editors.. 47 th Symposium on Mathematica[r] ...
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Some Remarks to Numerical Solutions of the Equations of Mathematical Physics
... of mathematical physics, which describe some actual processes, are defined on manifolds (tangent, a companying or others) that are not ...of mathematical physics are obtained only in the case ...
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Fionn Murtagh, Pedro Contreras International Conference p-adic MATHEMATICAL PHYSICS AND ITS APPLICATIONS. p-adics.2015, September 2015
... - Hierarchical clustering via Baire distance using chemical compounds.. Applications in Search and Discovery..[r] ...
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Journal of Nonlinear Mathematical Physics. Multipotentialisations and Iterating-Solution Formulae: The Krichever Novikov Equation
... Keywords : Integrable evolution equations in (1+1) dimensions; Auto-B¨ acklund transformations; solution generators; potentialisation of evolution equations; conservation laws; Krichever[r] ...
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Mathematical modelling of granulation processes : a thesis presented in partial fulfilment of the requirements for the degree of Doctor of Philosophy in Mathematical Physics at Massey University, Palmerston North, New Zealand
... Chapter 2 studies liquid bridges between two particles. The chapter is split into two independent studies; static liquid bridges are studied in Section 2.2 and dynamic liquid bridges are studied in Section 2.5. For the ...
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Searching for traveling wave solutions of nonlinear evolution equations in mathematical physics
... important mathematical models to describe physical ...nonlinear physics, especially in soliton ...plasma physics, optical fibers, solid state physics, chemical kinematic, chemical ...
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Application of the new approach of generalized (G' /G) -expansion method to find exact solutions of nonlinear PDEs in mathematical physics
... The exact solutions of nonlinear evolution equations (NLEEs) play a crucial role to make known the internal mechanism of complex physical phenomena. In this article, we construct the traveling wave solutions of the ...
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Nonholonomic dynamical systems : a thesis presented in partial fulfilment of the requirements for the degree of Master of Science in Mathematical Physics at Massey University
... As mentioned before, the discovery of dissipative behaviour in a non-integrable nonholonomic dynamical system would strongly support the conjecture that the only general features of the [r] ...
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Nonholonomic dynamical systems : a thesis presented in partial fulfilment of the requirements for the degree of Master of Science in Mathematical Physics at Massey University
... As mentioned before, the discovery of dissipative behaviour in a non-integrable nonholonomic dynamical system would strongly support the conjecture that the only general features of the [r] ...
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