نتایج جستجو برای: sine gordon equation
تعداد نتایج: 244991 فیلتر نتایج به سال:
We found a new symplectic structure and a recursion operator for the Sasa–Satsuma (complex mKdV II) equation widely used in nonlinear optics, pt = pxxx + 6pqpx + 3p(pq)x, qt = qxxx + 6pqqx + 3q(pq)x, along with an integro-differential substitution linking this system to a third-order generalized symmetry of the complex sine-Gordon II system uxy = vuxuy uv + c + (2uv + c)(uv + c)ku, vxy = uvxvy ...
We derive a new zero-curvature formalism for the sine-Gordon (sG) equation which permits the introduction of a local sine-Gordon hierarchy (in contrast to the traditionally accepted nonlocal higher-order sG equations). In complete analogy to other completely integrable hierarchies of soli-ton equations, such as the KdV, AKNS, and Toda hierarchies, our local sG hierarchy is recursively construct...
Here we concern ouraelves with the derivation of a system of evolution equations for slowly varying amplitude of a baroclinic wave packet. The self-induced transparency, Sine-Gordon, and nonlinear Schrodinger equations, all of which possess soliton solutions, each arise for different inviscid limits. The presence of viscosity, however, alters the form of the evolution equations and changes th...
In this paper, a type of fully nonlinear Sine-Gordon equations and the approximate Sine-Gordon equation (under the condition: |up|is very small) are studied.Through proper transformation, some initial value problems of many equations with special nonlinear terms are solved by the Adomian decomposition method and some exact solutions: kink solution ,compacton solution, multi-compacton solution, ...
The nonlinear sine-Gordon equation arises in various problems in science and engineering. In this paper, we propose a numerical scheme to solve the two-dimensional damped/undamped sine-Gordon equation. The proposed scheme is based on using collocation points and approximating the solution employing the thin plate splines (TPS) radial basis function (RBF). The new scheme works in a similar fashi...
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