Traveling Wave Solutions
Existence of Traveling Wave Solutions
... Key words. Hyperbolic-elliptic system, Traveling wave solutions, Singular perturbations Subject classifications. 35K65, 35B25, 34C37, 92C99. 1. Introduction Over the last few decades a variety of ...
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Traveling wave solutions of 7
... solitary wave in nature is rather frequent, especially in fluids, plasmas, solid state physics, condensed matter physics, optical fibers, chemical kinematics, electrical circuits, bio-genetics, elastic media ...
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Exact Traveling Wave Solutions of Equalwidth Equation
... and traveling wave transformation method are applied to the Equalwidth equation to obtain the exact solution of the Equalwidth equa- ...obtained solutions include trigonometric functions, hyperbolic ...
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Invasion traveling wave solutions of a competitive system with dispersal
... invasion traveling wave solutions of a Lotka-Volterra type competition system with nonlocal dispersal, the purpose of which is to formulate the dynamics between the resident and the ...lower ...
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The Traveling Wave Solutions for Some Nonlinear PDEs in Mathematical Physics
... 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 order KdV equation and (1 + 1) ...
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Traveling wave solutions in a Lotka Volterra type competition recursion
... the traveling wave solutions of a competitive integrodifference system with Lotka-Volterra type ...of traveling wave solutions is proved by constructing generalized upper and ...
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Multiplicity and structures for traveling wave solutions of the Kuramoto Sivashinsky equation
... solitary wave) of nonperiodic traveling wave solutions and families of multiple solutions in each ...multiple solutions are still unclear because of numerical ...multiple ...
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Exact Traveling Wave Solutions of Nonlinear PDEs in Mathematical Physics
... exact traveling wave solutions of nonlinear PDEs 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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Classifying Exact Traveling Wave Solutions to the Coupled Higgs Equation
... its traveling wave ...some traveling wave solutions to the Coupled-Higgs ...act traveling wave solutions to the Coupled-Higgs ...The Traveling Wave ...
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THE EXACT TRAVELING WAVE SOLUTIONS TO ONE INTEGRABLE KDV6 EQUATION
... exact solutions to (2) by using the Cole-Hopf transforma- tion and one improved tanh-coth method in ...exact traveling wave solutions to the integrable equations (2) and (3) from the point of ...
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Traveling Wave Solutions, Periodic and Chaotic Solutions of a PDE Approximation of Coupled Chua's Circuits.
... study traveling wave solutions to this CNN system since the existence of such solutions is one of the most prominent features of the ...
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Bifurcations and exact traveling wave solutions for a modified Degasperis–Procesi equation
... periodic wave and smooth solitary wave solutions for the modified Degasperis–Procesi equation is proved, and exact expressions of corresponding traveling wave solutions are ...
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Searching for traveling wave solutions of nonlinear evolution equations in mathematical physics
... exact traveling wave solutions including triangular solutions, hyperbolic function solutions, Jacobi and Weierstrass elliptic function solutions have been obtained by taking full ...
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All exact traveling wave solutions of the combined KdV mKdV equation
... exact traveling wave solutions of the combined KdV-mKdV ...exact traveling wave solutions of the combined KdV-mKdV equation are solitary wave solutions, the complex ...
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Existence of periodic traveling wave solutions to the generalized forced Boussinesq equation
... periodic traveling wave solutions are ...of solutions to the integral ...periodic traveling wave solutions to the generalized forced Boussinesq equation is ...
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Three dimensional Korteweg de Vries equation and traveling wave solutions
... real-valued traveling wave solutions of the form U(ξ) = u(x,y,z,t) with ξ = ax + by + cz − ωt, where a, b, c, and ω are real ...for solutions of the following fourth order ordinary differential ...
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New Exact Traveling Wave Solutions for Some Coupled BBM Equations
... the traveling wave solutions for nonlinear PDEs plays an important role in the study of nonlinear physical ...explicit solutions of physics equations is an important and interesting ...exact ...
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Finite-Size Effects on Traveling Wave Solutions to Neural Field Equations
... Abstract Neural field equations are used to describe the spatio-temporal evolution of the activity in a network of synaptically coupled populations of neurons in the continuum limit. Their heuristic derivation involves ...
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Existence of traveling wave solutions with critical speed in a delayed diffusive epidemic model
... the traveling wave solutions can describe the phase transmission from a disease-free state to an infective ...the traveling wave solutions can predict whether or not the epidemic ...
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Non Traveling Wave Solutions for the (2+1) Dimensional Breaking Soliton System
... Recently, the G G -expansion method was pro- posed to obtain the new exact solutions of the nonlinear evolution equations [24]. Subsequently the powerful G G -expansion method has been widely used by ...
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