Negative-order KdV equations in (3+1) dimensions by using the KdV recursion operator
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Publication:5880577
DOI10.1080/17455030.2017.1317115OpenAlexW2606369818MaRDI QIDQ5880577
Publication date: 3 March 2023
Published in: Waves in Random and Complex Media (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/17455030.2017.1317115
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Uses Software
Cites Work
- Unnamed Item
- Soliton scattering with amplitude changes of a negative order AKNS equation
- Partial differential equations and solitary waves theory
- Integrable systems and their recursion operators.
- Exact solutions and conservation laws of Zakharov-Kuznetsov modified equal width equation with power law nonlinearity
- New exact solutions and conservation laws of a coupled Kadomtsev-Petviashvili system
- Negative powers of Olver recursion operators
- A symbolic algorithm for computing recursion operators of nonlinear partial differential equations
- Symmetries and Integrability
- Evolution equations possessing infinitely many symmetries
- Time-Dependent Recursion Operators and Symmetries
- The generalized KaupߝBoussinesq equation: multiple soliton solutions
- Multiple-kink solutions for the (3+1)-dimensional Burgers hierarchy
- (2 + 1)-dimensional Korteweg–de Vries (N) equations derived by using the Korteweg–de Vries recursion operator
- Multi-soliton rational solutions for quantum Zakharov-Kuznetsov equation in quantum magnetoplasmas
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