Bäcklund transformation and exact solutions for \((2+1)\)-dimensional Kolmogorov-Petrovsky-Piscounov equation

DOI10.1016/S1007-5704(99)90029-1zbMath0924.35135OpenAlexW2082096036MaRDI QIDQ1303315

Zhenya Yan, Hong-Qing Zhang

Publication date: 27 September 1999

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s1007-5704(99)90029-1

zbMATH Keywords

KPP equationBäcklund transformationCI equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Solutions to PDEs in closed form (35C05)

Related Items (7)

New exact solutions for new model nonlinear partial differential equation ⋮ New soliton-like solutions to the potential Kadomtsev-Petviashvili (PKP) equation. ⋮ Constructing families of soliton-like solutions to a \((2+1)\)-dimensional breaking soliton equation using symbolic computation ⋮ Two types of new algorithms for finding explicit analytical solutions of nonlinear differential equations ⋮ A modified tanh-coth method for solving the general Burgers-Fisher and the Kuramoto-Sivashinsky equations ⋮ A modified tanh-coth method for solving the KdV and the KdV-Burgers equations ⋮ Bäcklund transformation, non-local symmetry and exact solutions for \((2+1)\)-dimensional variable coefficient generalized KP equations

Cites Work

• Unnamed Item
• Solitons. Mathematical methods for physicists
• Integral manifolds and inertial manifolds for dissipative partial differential equations
• Mathematics of dispersive water waves

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