[PDF] Top 20 Exact Traveling Wave Solutions of Nonlinear PDEs in Mathematical Physics

... finding exact solutions to nonlinear equa- tions is important for the understanding of most nonlinear physical ...the nonlinear wave phenomena observed in fluid dynamics, plasma ... See full document

... the exact traveling wave solutions of some nonlinear PDEs in the mathe- matical physics via (1 + 1) dimensional Kaup Kupershmit equation, the (1 + 1) dimensional seventh ... See full document

... the exact traveling wave solutions involving parameters of nonlinear evolution equation Modified Li- ouville equation and comparison between this two method and an- other method which ... See full document

... the exact solution to this equation and constructed some new solutions which are not found in the previous ...offers solutions with free parameters that might be imperative to explain some intricate ... See full document

... find exact solutions of Nonlinear PDEs in mathematical physics, Mathematical Problems in Engineering, Article ID 768573, 19 pages, ... See full document

... new exact traveling wave solutions including triangular solutions, hyperbolic function solutions, Jacobi and Weierstrass elliptic function solutions have been obtained by ... See full document

... the exact traveling wave solutions and then the solitary wave solutions of two nonlinear evolution equations, namely, the (1+1)-dimensional generalized shallow water- ... See full document

... Abstract Exact solutions of nonlinear evolution equations (NLEEs) play very important role to make known the inner mechanism of compound physical ...new exact traveling wave ... See full document

... of wave propagation in different physical ...of exact solutions were obtained by these methods, including the solitary wave solutions, shock wave solution, peri- odic wave ... See full document

... 3. Theory of elasticity and Colombeau’s algebra. In this section, we consider a simplified model of elasticity to apply new generalized functions for investigating jump conditions of nonlinear PDEs arising ... See full document

... established exact traveling wave solutions of various nonlinear PDEs via this ...analytical solutions by using the same ...abundant traveling wave ... See full document

... of nonlinear evolution equations (NLEEqs) have at- tracted much attention in connection with the important problems that arise in scientific ...applications. Exact solutions of NLEEqs of ... See full document

... the exact traveling wave solutions of two-component nonlinear partial differential equations (NLPDEs) is ...new solutions to the nonlinear Whitham- Broer-Kaup system ... See full document

... the wave phenomena observed in fluid dynamics [4, 14], plasma and elastic media [5, 12] and optical fibers [11, 19] ...deriving exact solutions of NLEEs are Backlund transformation method [10], Darboux ... See full document

... the exact traveling wave solutions of the coupled KdV-mKdV ...function solutions are ...other nonlinear evolution equations in mathematical ... See full document

... with nonlinear partial differential equations (PDEs), many methods have been de- ...many PDEs to obtain the exact ...single traveling wave solutions to some ...the ... See full document

... the exact traveling wave solutions for investigating nonlinear partial Klien- Gordon differential equations by implementing the modified simple equation ...function solutions ... See full document

... third-order nonlinear dispersive ...smooth solutions that develop singularities in finite time by capturing the essential features of breaking waves [8], the solutions remain bounded, but their slopes ... See full document

... In this paper, the homogeneous balance method has been applied to obtain the new exact solutions of the (3+1) Jimbo-Miwa equation. This method has the advantages of being direct and concise. The method ... See full document

... the traveling wave solutions of the generalized Equal width equation on the premise of finding the exact solution of the Equal width ...to physics, engineering, and other ... See full document