Nonautonomous soliton solutions of the modified Korteweg-de Vries-sine-Gordon equation
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Publication:518550
DOI10.1134/S0965542516110105zbMath1364.35316MaRDI QIDQ518550
Publication date: 28 March 2017
Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)
solitonmultisoliton interactionantikinkbreatherkinkmKdV equationmKdV-SG equationnonautonomous mKdV-SG equationSG equation
KdV equations (Korteweg-de Vries equations) (35Q53) Numerical methods for discrete and fast Fourier transforms (65T50) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Soliton equations (35Q51)
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WAVE EQUATION WITH CUBIC NONLINEARITY AND EXCITATION OF OSCILLATIONS IN THE “MEDIUM–SOURCE” SYSTEM ⋮ Infinitely many nonlocal symmetries and nonlocal conservation laws of the integrable modified KdV-sine-Gordon equation ⋮ Excitation of Large-Amplitude Localized Nonlinear Waves by the Interaction of Kinks of the Sine-Gordon Equation with Attracting Impurity
Cites Work
- Conservation laws for some nonlinear evolution equations which describe pseudo-spherical surfaces
- The Bäcklund transformations, exact solutions, and conservation laws for the compound modified Korteweg-de Vries-Sine-Gordon equations which describe pseudospherical surfaces
- Influence of dislocations on kink solutions of the double sine-Gordon equation
- Structure and properties of four-kink multisolitons of the sine-Gordon equation
- Application of the quasi-spectral fourier method to soliton equations
- Nonautonomous mixed mKdV–sinh–Gordon hierarchy
- On the nonlinear stability of mKdV breathers
- Few-optical-cycle dissipative solitons
- The Novel Multi-Soliton Solutions of the MKdV–Sine Gordon Equations
- Perturbed soliton solutions of the sine-Gordon equation
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