Lie symmetry analysis and conservation law of variable-coefficient Davey-Stewartson equation
DOI10.1016/j.camwa.2018.02.008zbMath1409.35144OpenAlexW2791396642WikidataQ130097971 ScholiaQ130097971MaRDI QIDQ1732556
Ying-Lin Lu, Guang-Mei Wei, Ya-Qin Xie, Wen-Xin Zheng
Publication date: 25 March 2019
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2018.02.008
symbolic computationconservation lawsimilarity reductionnonlinear self-adjointnessoptimal systemvariable-coefficient Davey-Stewartson equation
Second-order nonlinear hyperbolic equations (35L70) NLS equations (nonlinear Schrödinger equations) (35Q55) Geometric theory, characteristics, transformations in context of PDEs (35A30)
Related Items (12)
Cites Work
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- Numerical study of blow-up to the purely elliptic generalized Davey-Stewartson system
- A new conservation theorem
- Bäcklund-Darboux transformations and Melnikov analysis for Davey-Stewartson II equations
- Conservation laws by symmetries and adjoint symmetries
- Solutions of the Davey-Stewartson II equation with arbitrary rational localization and nontrivial interaction
- Comprehensive analysis of the symmetries and conservation laws of the geodesic equations for a particular string inspired FRLW solution
- Lax pair, auto-Bäcklund transformation and conservation law for a generalized variable-coefficient KdV equation with external-force term
- The residual symmetry and exact solutions of the Davey-Stewartson III equation
- Conservation laws of discrete evolution equations by symmetries and adjoint symmetries
- Exact propagating dromion-like localized wave solutions of generalized \((2+1)\)-dimensional Davey-Stewartson equations
- Homoclinic solutions for Davey-Stewartson equation
- Nonlinear self-adjointness and conservation laws
- Exact solution for quantum Davey-Stewartson I system
- Direct Construction of Conservation Laws from Field Equations
- On three-dimensional packets of surface waves
- Dynamics of rogue waves in the Davey–Stewartson II equation
- Bäcklund Transformation, Lax Pair and Solitons of the (2+1)-dimensional Davey-Stewartson-like Equations with Variable Coefficients for the Electrostatic Wave Packets
- Symmetries and differential equations
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