Conservation laws of the complex short pulse equation and coupled complex short pulse equations
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Publication:6039955
DOI10.1088/1572-9494/ac729azbMath1511.76083OpenAlexW4281394859MaRDI QIDQ6039955
Ling-Shu Wang, Li-Hua Zhang, Gang-Wei Wang, Bo Shen, Shuxin Han
Publication date: 23 May 2023
Published in: Communications in Theoretical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1088/1572-9494/ac729a
conservation lawssymmetriesadjoint symmetriescomplex short pulse equationcoupled complex short pulse equationsSA method
Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Hyperbolic conservation laws (35L65) Symmetry analysis, Lie group and Lie algebra methods applied to problems in fluid mechanics (76M60)
Cites Work
- Self-adjointness and conservation laws of two variable coefficient nonlinear equations of Schrödinger type
- Some weak self-adjoint Hamilton-Jacobi-Bellman equations arising in financial mathematics
- A new conservation theorem
- Conservation laws for some systems of nonlinear PDEs via the symmetry/adjoint symmetry pair method
- Applications of symmetry methods to partial differential equations
- Complex short pulse and coupled complex short pulse equations
- Analysis of a coupled short pulse system via symmetry method
- Propagation of ultra-short optical pulses in cubic nonlinear media
- Optimal system, group invariant solutions and conservation laws of the CGKP equation
- The interaction solitons for the complex short pulse equation
- Far-field asymptotics for multiple-pole solitons in the large-order limit
- Bright-dark vector soliton solutions for the coupled complex short pulse equations in nonlinear optics
- Long-time asymptotic behavior for the complex short pulse equation
- New rational and breather solutions of a higher-order integrable nonlinear Schrödinger equation
- Two-soliton solutions of the complex short pulse equation via Riemann-Hilbert approach
- Comparison of different approaches to conservation laws for some partial differential equations in fluid mechanics
- Multi-soliton, multi-breather and higher order rogue wave solutions to the complex short pulse equation
- Noether-type symmetries and conservation laws via partial Lagrangians
- From the Real and Complex Coupled Dispersionless Equations to the Real and Complex Short Pulse Equations
- A Generalization of Inverse Scattering Method
- Group classification and conservation laws of anisotropic wave equations with a source
- A novel multi-component generalization of the short pulse equation and its multisoliton solutions
- Quasi self-adjoint nonlinear wave equations
- Direct Construction of Conservation Laws from Field Equations
- Lie symmetry analysis for complex soliton solutions of coupled complex short pulse equation
- Method of Conservation Laws for Constructing Solutions to Systems of PDEs
- (2+1)-dimensional coupled Boussinesq equations for Rossby waves in two-layer cylindrical fluid*
