Separation Transformation and New Exact Solutions for the (1+N)-Dimensional Triple Sine-Gordon Equation

In this work, the exact bright one-soliton solution of the one-dimensional GPE with time-dependent parameters is directly obtained by using the well-known Hirota method under the

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

A type of generalized travelling wave solu- tion is constructed in variable separation form for the DZKE (1)4. The solution includes two arbitrary func- tions of

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

In this article, two powerful analytical methods called the variational iteration method (VIM) and the variational homotopy perturbation method (VHPM) are introduced to obtain the

By using this method, an explicit numerical solution is calculated in the form of a convergent power series with easily computable components.. To illustrate the application of

Unlike classical techniques, the homotopy perturbation method leads to an analytical approximate and to exact solutions of the nonlinear equations easily and elegantly