Deformed Sine- and Sinh-Gordon Equations, Deformed Liouville Equations, and Their Discrete Models
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Publication:4811032
DOI10.1143/JPSJ.72.1339zbMath1059.35125MaRDI QIDQ4811032
Publication date: 17 August 2004
Published in: Journal of the Physical Society of Japan (Search for Journal in Brave)
solitary wave\(N\)-kink solutiondeformed Liouville equationdeformed sine-Gordon equationdeformed sinh-Gordon equation
KdV equations (Korteweg-de Vries equations) (35Q53) Special relativity (83A05) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20)
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Exact travelling wave solutions for the \((n + 1)\)-dimensional double sine- and sinh-Gordon equations ⋮ Non-holonomic and quasi-integrable deformations of the AB equations ⋮ Bifurcations and exact traveling wave solutions of the \((n+1)\)-dimensional \(q\)-deformed double sinh-Gordon equations ⋮ Persistence of kink and anti-kink wave solutions for the perturbed double sine-Gordon equation ⋮ New exact double periodic wave and complex wave solutions for a generalized sinh-Gordon equation ⋮ Bounded travelling wave solutions for the (\(n+1\))-dimensional sine- and sinh-Gordon equations ⋮ Explicit exact traveling wave solutions and bifurcations of the generalized combined double \(\sinh\)-\(\cosh\)-Gordon equation
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