Conservation laws, symmetries, and line soliton solutions of generalized KP and Boussinesq equations with \(p\)-power nonlinearities in two dimensions
From MaRDI portal
Publication:1716176
DOI10.1134/S004057791810001XzbMath1405.37075arXiv1710.02739OpenAlexW3101707560WikidataQ114847427 ScholiaQ114847427MaRDI QIDQ1716176
Stephen C. Anco, Elena Recio, Maria Luz Gandarias
Publication date: 4 February 2019
Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1710.02739
Lua error in Module:PublicationMSCList at line 37: attempt to index local 'msc_result' (a nil value).
Related Items (10)
Conservation laws and line soliton solutions of a family of modified KP equations ⋮ Conservation laws, symmetries, and line solitons of a Kawahara-KP equation ⋮ Conservation laws analysis of nonlinear partial differential equations and their linear soliton solutions and Hamiltonian structures ⋮ Symmetry and conservation laws of the (2+1)-dimensional nonlinear Schrödinger-type equation ⋮ Conservation laws and exact solutions of a generalized Kadomtsev–Petviashvili (KP)‐like equation ⋮ Symmetry multi-reduction method for partial differential equations with conservation laws ⋮ A formula for symmetry recursion operators from non-variational symmetries of partial differential equations ⋮ Line-solitons, line-shocks, and conservation laws of a universal KP-like equation in 2+1 dimensions ⋮ Lie symmetry analysis, exact solutions, and conservation laws of variable-coefficients Boiti-Leon-Pempinelli equation ⋮ Lie symmetry analysis of (2+1)-dimensional KdV equations with variable coefficients
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A nonlinear generalization of the Camassa-Holm equation with peakon solutions
- Explicit construction of solutions of the modified Kadomtsev-Petviashvili equation
- Applications of symmetry methods to partial differential equations
- The Boussinesq equation revisited
- Invariant solutions and conservation laws of the (2 + 1)-dimensional Boussinesq equation
- Modified Kadomtsev-Petviashvili (MKP) equation and electromagnetic soliton
- Reductions and new exact solutions of ZK, Gardner KP, and modified KP equations via generalized double reduction theorem
- N-Soliton Solution of the Two-Dimensional Korteweg-deVries Equation
- On the evolution of packets of water waves
- Solutions of Kadomtsev-Petviashvili equation with power law nonlinearity in 1+3 dimensions
- Two-dimensional lumps in nonlinear dispersive systems
- Inverse Spectral Transform for the Modified Kadomtsev-Petviashvili Equation
- Symmetries of the Kadomtsev-Petviashvili equation
- A comparison of four approaches to the calculation of conservation laws
- Symmetry-invariant conservation laws of partial differential equations
- Generalization of Noether’s Theorem in Modern Form to Non-variational Partial Differential Equations
- Direct construction method for conservation laws of partial differential equations Part II: General treatment
- Why are solitons stable?
This page was built for publication: Conservation laws, symmetries, and line soliton solutions of generalized KP and Boussinesq equations with \(p\)-power nonlinearities in two dimensions