integrable sine-Gordon equation
Degenerate multi-solitons in the sine-Gordon equation
... nonlinear equation they also have a relatively easy starting ...the sine-Gordon model as the limit to the degenerate case could be taken directly from the N -soliton solutions with different spectral ...
22
Decay of bound states in a sine Gordon equation with double well potentials
... the integrability, wobbling kinks in the sine-Gordon equation do not radiate continuous waves. 7–9,15 Radiation does not exist in the integrable system due to the absence of internal modes. ...
29
Multisymplectic approach to integrable defects in the sine-Gordon model
... of integrable field theory: the sine-Gordon ...The sine-Gordon model is widely recognized as one of the most important representatives of the class of relativistic integrable ...
23
Exact Form Factors in Integrable Quantum Field Theories: the Sine-Gordon Model
... The ansatz only involves the rapidity differences, apart from a possible pre-factor, which takes the spin of the local field O into account, and has therefore the desired behavior under Lorentz transformations (refer ...
56
Type I integrable defects and finite-gap solutions for KdV and sine-Gordon models
... II integrable defects that have an auxiliary time- dependent quantity defined on the defect [27, 28, ...in sine-Gordon, may be regarded as ‘fusions’ of two type I defects and one would therefore ...
44
An Expansion Based on Sine-Gordon Equation to Solve KdV and modified KdV Equations in Conformable Fractional Forms
... KdV equation is completely integrable and has wave solutions of classical solitary wave type ...The equation can describe many types of physical phenomena particularly waves covering internal ocean ...
14
Breaking integrability at the boundary: the sine-Gordon model with Robin boundary conditions
... the sine-Gordon equation with a non-integrable Robin ...the integrable Neumann and Dirichlet limits the results of the collisions approach the exact solutions for these boundaries: ...
31
Identifying the operator content, the Homogeneous sine-Gordon models
... some integrable theories, ...recursive equation of the type ...recursive equation, that is the lowest non-vanishing form factor ∗ , one can in general compute from them several form factors which ...
27
A Crank–Nicolson finite difference scheme for the Riesz space fractional order parabolic type sine Gordon equation
... fractional-order sine-Gordon equation (see, ...parabolic-type sine-Gordon equation (RSFOPTSGE) with the first-order time derivative is not ...
7
Adomian Polynomial and Elzaki Transform Method for Solving Sine-Gordon Equations
... In this paper, we find the solutions of nonlinear Sine Gordon equations and coupled Sine Gordon equation by Elzaki transform method and Adomian Polynomial. This method gives the ...
7
Thermodynamic Bethe ansatz of the homogeneous sine-Gordon models
... the integrable model on an infinite cylinder whose circumference is identified as compactified space ...massive integrable field theory is obtained from a conformal model by adding a perturbative term which ...
31
A multisymplectic approach to defects in integrable classical field theory
... of integrable defects in classical field ...NLS equation without a ...incorporates integrable defects in the form of frozen B¨ acklund transformations at a specific ...to integrable defects ...
21
A multisymplectic approach to defects in integrable classical field theory
... of integrable defects in classical field ...NLS equation without a ...incorporates integrable defects in the form of frozen B¨ acklund transformations at a specific ...to integrable defects ...
20
On The Exact Solutions to Conformable Time Fractional Equations in EW Family Using Sine-Gordon Equation Approach
... In the recent several decades, many developments in computer algebra field have been witnessed. These developments have also lead to solve many nonlinear PDE problems symbolically due to faster symbolic algebraic ...
13
An optimized Crank–Nicolson finite difference extrapolating model for the fractional order parabolic type sine Gordon equation
... In this paper, by means of a proper orthogonal decomposition (POD) we mainly reduce the order of the classical Crank–Nicolson finite difference (CCNFD) model for the fractional-order parabolic-type ...
15
Decoupling the SU(N)2-homogeneous sine-Gordon model
... was previously observed, for the two particle contribution only, in the context of the roaming Sinh-Gordon model [12]. Nonetheless, there is a slight difference between the two situations. Instead of a decoupling ...
10
Decoupling the SU(N)_2-homogeneous Sine-Gordon model
... was previously observed, for the two particle contribution only, in the context of the roaming Sinh-Gordon model [12]. Nonetheless, there is a slight difference between the two situations. Instead of a decoupling ...
10
Form Factors for Integrable Lagrangian Field Theories, the Sinh-Gordon Model
... As mentioned in sect. 3, the Sinh-Gordon model can be regarded as deformation of the free massless theory with central charge c = 1. This fixed point governs the ultraviolet behaviour of the model whereas the ...
42
Darboux Transformation of Lax Pair for an Integrable Coupling of the Integrable Differential-Difference Equation
... [1], integrable differential- difference equations has attracted wide interest, and has been applied in many fields of ...Many integrable differential-difference equations have been ...Their ...
7
Lagrangian and Hamiltonian structures in an integrable hierarchy and space-time duality
... of integrable equations of motion, encapsulating a so-called multisymplectic form, goes back at least to the works in [14]: at that time it was undertaken in the context of multitime compatible Hamiltonian ...
26