Painlevé analysis, auto-Bäcklund transformations, bilinear forms and soliton solutions for a (2+1)-dimensional variable-coefficient modified dispersive water-wave system in fluid mechanics
From MaRDI portal
Publication:6099051
DOI10.1088/1572-9494/ac9a3fzbMath1516.35335OpenAlexW4306168516MaRDI QIDQ6099051
Publication date: 19 June 2023
Published in: Communications in Theoretical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1088/1572-9494/ac9a3f
bilinear formssoliton solutionsfluid mechanicsPainlevé analysisauto-Bäcklund transformationsvariable-coefficient modified dispersive water-wave system
PDEs in connection with fluid mechanics (35Q35) Soliton equations (35Q51) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)
Cites Work
- Unnamed Item
- Lie group method for solving generalized Hirota-Satsuma coupled Korteweg-de Vries (KdV) equations
- Shallow-water-wave studies on a (2 + 1)-dimensional Hirota-Satsuma-Ito system: \(X\)-type soliton, resonant \(Y\)-type soliton and hybrid solutions
- Oceanic shallow-water symbolic computation on a \((2+1)\)-dimensional generalized dispersive long-wave system
- Darboux transformation, localized waves and conservation laws for an \(M\)-coupled variable-coefficient nonlinear Schrödinger system in an inhomogeneous optical fiber
- Darboux transformation, generalized Darboux transformation and vector breathers for a matrix Lakshmanan-Porsezian-Daniel equation in a Heisenberg ferromagnetic spin chain
- Reflecting upon some electromagnetic waves in a ferromagnetic film via a variable-coefficient modified Kadomtsev-Petviashvili system
- Modified generalized Darboux transformation and solitons for a Lakshmanan-Porsezian-Daniel equation
- Symmetry Reduction of the (2+1)-Dimensional Modified Dispersive Water-Wave System*
- Consistent Riccati expansion for finding interaction solutions of (2+1)‐dimensional modified dispersive water‐wave system
