… periodic solutions of the short pulse (SP) model equation that describes the propagation of
ultrashort pulses in nonlinear media. We first summarize a novel exact method of solution that …

… explicitly these nonlinear equations for exact solutions. Consequently… solutions of these
equations. However, there is much current interest in obtaining exact solutions of these equations…

… In this paper, we will consider the short pulse equation (SPE) which has the general form (1)
… as a model equation describing the propagation of ultra-short light pulses in silica optical …

… The purpose of this paper is to discuss the WKI method for a recent equation known as the
Schäfer–Wayne short pulse equation (SWSPE) [15] and derive the N-soliton solutions under …

… , and hence the solution satisfies the second-order wave equation as well as the equations of
… As a result the theory is able to describe very short pulses, whose width can be of the order …

… ) from a ∂ ‾ equation. Our results also show that soliton solutions of the short-pulse equation
are … through the hodograph transformation, and further found many kinds of exact solutions …

… , a few generalizations of the short pulse equation as the two-… three two-component short
pulse equations were proposed as … of small perturbation v on the background of the solution u. …

… exact solutions of equations (1.5)–(1.7) and investigate their properties. The exact method of
solution … in constructing soliton solutions of the SP and modified SP equation and does not …

… of the solution of the initial value problem (IVP) for the short pulse (SP) equation. As the SP
… of the solution of the short pulse equation in the original scale ( x , t ) as time t goes to infinity. …

… Thus, using the transformation (8)–(9), we can easily derive exact solutions of the SPE
from the known ones of the SGE. Note that the invariance of the SGE (3) under the Lorentz …