soliton solution
Finding the one-loop soliton solution of the short-pulse equation by means of the homotopy analysis method
... models the propagation of ultra-short pulses in silica optical fibers [27]. It has been shown that the short-pulse equation has a Lax pair that is of the Wadati-Konno- Ichikawa type [28,29]. Because of this result, it is ...
10
N Rotating Loop Soliton Solution of the Coupled Integrable Dispersionless Equation
... Loop-Soliton solution of the coupled integrable dispersionless equation (CIDE) that describes a current-fed string within an external magnetic field in ...loop soliton solution and proceed to ...
11
1-Soliton Solution of the Biswas-Milovic Equation With Log Law Nonlinearity
... Biswas and Milovic only studied the BME with regards to four types of nonlinearity. They are the Kerr law, power law, parabolic law and the dual power law. In all of these cases, the soliton solution was ...
6
Hamiltonian Structure, Soliton Solution and Conservation Laws for a New Fifth Order Nonlinear Evolution Equation Which Describes Pseudo Spherical Surfaces
... In this paper, we shall show that the Hamiltonian structure can be defined for any nonlinear evolution equations which describe surfaces of a constant nega- tive curvature, so that the densities of conservation laws can ...
10
Riemann–Hilbert approach and N soliton solution for an eighth order nonlinear Schrödinger equation in an optical fiber
... This paper aims to present an application of the Riemann–Hilbert approach to treat higher-order nonlinear differential equation that is an eighth-order nonlinear Schrödinger equation arising in an optical fiber. Starting ...
14
Euler potentials for the MHD Kamchatnov-Hopf soliton solution
... MHD soliton which has non-trivial helic- ity. The MHD soliton solution (Kamchatnov, 1982) is based on the Hopf invariant of the mapping of a 3-D sphere into a 2-D sphere; it can have arbitrary ...
8
Soliton solution for nonlinear partial differential equations by the (G'/G )-expansion method and its applications
... exact solution methods of nonlinear evolution equations have become more and more important resulting in methods like the tanh method [1–3], extended tanh function method [4, 5], the modified extended tanh ...
13
Finite size Effects from Giant Magnons
... one-soliton solution of the gauge-fixed string sigma model should be identified with a one-magnon state in the spin chain description of the gauge/string theory [12, 27, 28, 30], and the world-sheet ...
43
Soliton Resonances of the Nonisospectral Modified Kadomtsev Petviashvili Equation
... 2-soliton solution and it’s two type of resonances, minus reso- nance and plus resonance, by which we know that they all possess three arms, this theory can be illustrated by Figure 2, and furthermore, they ...
9
Topological soliton solutions of the some nonlinear partial differential equations
... We have derived the exact topological soliton solutions of the three nonlinear equa- tions. The 1-soliton solution is obtained by solitary wave ansatz method. With the aid of Maple, it is confirmed ...
16
Break Up of N Soliton Bound State in a Gradient Refractive Index Waveguide with Nonlocal Nonlinearity
... gle soliton propagates with a constant velocity. The ve- locity of soliton is disturbed as it propagates in an inho- mogeneous refractive index medium, ...amplitude soliton experiences much larger ...
7
Solitons on tori and soliton crystals
... a soliton crystal of periodicity ...any soliton solution on a cubic lattice which satisfies a virial constraint and is equivariant with respect to (a subgroup of) the lattice symmetries automatically ...
25
Cross soliton and breather soliton for the \((3+1)\) dimensional Yu–Toda–Sasa–Fukuyama equation
... exact solution and studying dynam- ical behavior [4–7] of solutions are very significant in physics, mathematics, and nonlin- ear science fields for understanding the complexity and variety of dynamics determined by ...
8
Topological Solitons in 1+2 Dimensions with Time-Dependent Coefficients
... where the exponent p is unknown at this stage and this will be determined in course of derivation of the exact soliton solution to (1). The typical boundary conditions for this ansatz is q → ±A as |x|, |y| ...
7
Higher order KdV type equations and their stability
... the soliton solution is stable, when they both have negative signs, the soliton solution is unstable and when both have opposite signs, the solution is stable with a constraint on ...
6
Least energy solutions for a quasilinear Schrödinger equation with potential well
... For example, by using a constrained minimization argument, the existence of positive ground state solution was proved by Poppenberg, Schmitt and Wang []. Using a change of variables, Liu, Wang and Wang [] used ...
17
Stability of solitonic solutions of Super KdV equations under susy breaking conditions
... norm is relevant in their argument. The use of conserved quantity was also considered in a stability argument by Boussinesq []. In this paper, we make use of this main idea to prove stability of the one-soliton ...
10
The Rise of Solitons in Sine Gordon Field Theory: From Jacobi Amplitude to Gudermannian Function
... We would like to make a few comments about the soliton solution, shown in Equation (16), and its generalized version, shown in Equation (17). Firstly, we may notice by comparing Figure 1 and Figure 2 how ...
6
Variational approach to dynamics of bright solitons in lossy optical fibers
... of soliton solution of coupled nonlinear Schrödinger equations with oscillating terms is made, considering a birefringent fiber with a third-order nonlinearity in the anomalous dispersion frequency ...
6
Hirota bilinear computation of multi soliton solutions korteweg de vries equation
... multi soliton solutions. Yang and Mao (2008) had conducted a study on soliton solution and interaction property by using the Hirota bilinear ...
22