Explicit solutions for some (2+1)-dimensional nonlinear evolution equations
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Publication:4533626
DOI10.1088/0305-4470/34/45/305zbMath0997.35074OpenAlexW2010447502MaRDI QIDQ4533626
Publication date: 11 June 2002
Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1088/0305-4470/34/45/305
soliton solutionsDarboux transformationmodified Kadomtsev-Petviashvili equationKadomtsev-Petviashvili II equation
KdV equations (Korteweg-de Vries equations) (35Q53) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Solutions to PDEs in closed form (35C05)
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Darboux transformations of the cKdV hierarchy with sources ⋮ Kadomtsev-Petviashvili equation: one-constraint method and lump pattern ⋮ The Application of Neumann Type Systems for Solving Integrable Nonlinear Evolution Equations ⋮ Integrability with symbolic computation on the Bogoyavlensky-Konoplechenko model: Bell-polynomial manipulation, bilinear representation, and Wronskian solution
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