Symbolic Computation and Construction of New Exact Traveling Wave Solutions to Fitzhugh-Nagumo and Klein-Gordon Equations

(ii) As (1) admits an SU(m) symmetry, the pairwise soliton collisions with m > 2 components can be re- duced to those in the two-component case by a unitary transformation

These so- lutions include the solitary wave solutions of bell-type for u and n, the solitary wave solutions of kink-type for u and bell-type for n, the solitary wave solutions of

Recently, many powerful methods have been estab- lished and developed to carry out the integrations of NLPDEs of all kinds, such as the subsidiary ordinary differential equation

The separation transformation method is extended to the (1+ N)-dimensional triple Sine-Gordon equation and a special type of implicitly exact solution for this equation is obtained.

The double SG equation arises in many physical systems like the spin dynamics in the B phase of superfluid 3 He [4], some features of the propagation of resonant ultrashort

We have studied the exact solutions of the Dirac equation with the Coulomb plus a novel angle-depen- dent potential using the Nikiforov–Uvarov method when the scalar potential and

In the recent years, many direct methods have been developed to construct travelling wave solutions to the nonlinear partial differential equations (NLPDEs), such as the

With the aid of the symbolic computation system Mathematica, many exact solutions for the Fitzhugh-Nagumo equation and the Klein-Gordon equation with a quadratic nonlinearity are