We show that the chiral soliton model recently introduced by Aglietti et al. can be made integrable by adding an attractive potential with a fixed coefficient. The modified model is equivalent to the derivative nonlinear Schrödinger model which does not possess parity and Galilean invariance. We obtain explicit one and two classical soliton solutions and show that in the weak coupling limit, th...

Interacting with a Scalar Wave Field Alexander Komech1 Department of Mechanics and Mathematics of Moscow State University, Moscow 119899, Russia email: [email protected] Herbert Spohn Theoretische Physik, Ludwig-Maximilians-Universit at Theresienstrasse 37, D-80333 M unchen, Germany email: [email protected] AbstractWe consider a scalar wave eld translation invariantly coupl...

We investigate simulations of exact solutions of the stochastic Dr. Herman Numerical Realizations of Solutions f the Stochastic KdV Equation Exact Solution of Stochastic KdV Wadati 1983 The One Soliton Solution Under Noise Statistical Averages The Exact Solution for < u(x, t) > via the Diffusion Equation Solving the Diffusion Equation The Damped Stochastic KdV Asymptotics Numerical Simulation o...

In this paper, we have used the static spherical symmetric metric. The parameter of nonlinearity fields is included in arbitrary function characterizing interaction between electromagnetic and scalar fields. Taking into account own gravitational field elementary particles, obtained exact solutions to equations nonlinear induction. Considering all forms solution Liouville equation, proved that m...

We consider N-soliton solutions of the KP equation, (−4ut + uxxx + 6uux)x + 3uyy = 0 . An N-soliton solution is a solution u(x, y, t) which has the same set of N line soliton solutions in both asymptotics y → ∞ and y → −∞. The N-soliton solutions include all possible resonant interactions among those line solitons. We then classify those N-soliton solutions by defining a pair of N-numbers (n,n)...

We consider N-soliton solutions of the KP equation, (−4ut + uxxx + 6uux)x + 3uyy = 0 . An N-soliton solution is a solution u(x, y, t) which has the same set of N line soliton solutions in both asymptotics y → ∞ and y → −∞. The Nsoliton solutions include all possible resonant interactions among those line solitons. We then classify those N-soliton solutions by defining a pair of Nnumbers (n,n) w...

In this paper, we investigate analytically and numerically the modulational instability in a model of nonlinear physical systems like nonlinear periodic lattices. This model is described by the discrete complex cubic quintic Ginzburg-Landau equation with non-local quintic term. We produce characteristics of the modulational instability in the form of typical dependences of the instability growt...

In this paper, we present soliton-like solutions of the non-linear complex Klein-Gordon systems in 1+1 dimensions. We will use polar representation to introduce three different soliton-like solutions including, complex kinks (anti-kinks), radiative profiles, and localized wave-packets. Complex kinks (anti-kinks) are topological objects with zero electrical charges. Radiative profiles are object...

Exact solutions in two (2+1)-dimensional KdV-type (Sawada-Kodera and Boussinesq) equations are presented by using the bilinear method. The N-breather solution, the solution to describe the interaction between a line soliton and a y-periodic soliton, and the solution to express the interaction between two y-periodic solitons are included in our results. Detailed behavior of interactions between ...

Abstract A time-like curve on the unit pseudo-sphere can be a solition solution to shortening flow We first introduce sufficient conditions for it hold. And by studying properties of structure function non-geodesic curves, I deduce some satisfied curves when forming space plane, and then analyze influence extreme value point function, finally discuss classification according space-like situatio...