Conservation laws of nonlinear PDEs arising in elasticity and acoustics in Cartesian, cylindrical, and spherical geometries
Fuente:
arXiv
Saved in:
| Main Authors: | Hereman, Willy, Naz, Rehana |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
Lie symmetries, closed-form solutions, and conservation laws of a constitutive equation modeling stress in elastic materials
by: Naz, Rehana, et al.
Published: (2024)
by: Naz, Rehana, et al.
Published: (2024)
Swirling fluid flow in flexible, expandable elastic tubes: variational approach, reductions and integrability
by: Ivanov, Rossen, et al.
Published: (2019)
by: Ivanov, Rossen, et al.
Published: (2019)
Nonlocal conservation laws of the constant astigmatism equation
by: Hlaváč, Adam, et al.
Published: (2016)
by: Hlaváč, Adam, et al.
Published: (2016)
On the prolongation of a local hydrodynamic-type Hamiltonian operator to a nonlocal one
by: Opanasenko, Stanislav, et al.
Published: (2024)
by: Opanasenko, Stanislav, et al.
Published: (2024)
Using Symmetries to Investigate the Complete Integrability, Solitary Wave Solutions and Solitons of the Gardner Equation
by: Hereman, Willy, et al.
Published: (2024)
by: Hereman, Willy, et al.
Published: (2024)
Periodic finite-band solutions to the focusing nonlinear Schrödinger equation by the Fokas method: inverse and direct problems
by: Shepelsky, Dmitry, et al.
Published: (2023)
by: Shepelsky, Dmitry, et al.
Published: (2023)
The Toda flow as a porous medium equation
by: Khesin, Boris, et al.
Published: (2022)
by: Khesin, Boris, et al.
Published: (2022)
On the Moutard transformation singularity for the Davey--Stewartson II equation
by: Huang, Yi C.
Published: (2025)
by: Huang, Yi C.
Published: (2025)
Davydov's soliton in an external alternating magnetic field
by: Brizhik, Larissa
Published: (2024)
by: Brizhik, Larissa
Published: (2024)
Numerical inverse scattering transform for the defocusing nonlinear Schrödinger equation with box-type initial conditions on a nonzero background
by: Gkogkou, Aikaterini, et al.
Published: (2024)
by: Gkogkou, Aikaterini, et al.
Published: (2024)
The periodic Camassa-Holm equation by the Riemann-Hilbert problem approach
by: de Monvel, Anne Boutet, et al.
Published: (2025)
by: de Monvel, Anne Boutet, et al.
Published: (2025)
Scaling Symmetry Reductions of Coupled KdV Systems
by: Fordy, Allan P
Published: (2024)
by: Fordy, Allan P
Published: (2024)
The direct linearization scheme with the Lamé function: The KP equation and reductions
by: Li, Xing, et al.
Published: (2025)
by: Li, Xing, et al.
Published: (2025)
Stability of 2-soliton solutions for the modified Camassa-Holm equation with cubic nonlinearity
by: Deng, Xijun, et al.
Published: (2025)
by: Deng, Xijun, et al.
Published: (2025)
A nonlocal coupled modified complex integrable dispersionless equation: Darboux transformation, soliton-type solutions and its asymptotic behavior
by: Sun, Hong-Qian, et al.
Published: (2025)
by: Sun, Hong-Qian, et al.
Published: (2025)
The Korteweg-de Vries limit for the global dynamics of the Toda lattice
by: Liu, Ruoyuan, et al.
Published: (2026)
by: Liu, Ruoyuan, et al.
Published: (2026)
Higher-order integrable models for oceanic internal wave-current interactions
by: Henry, David, et al.
Published: (2024)
by: Henry, David, et al.
Published: (2024)
Infinite-peakon solutions of the Camassa-Holm equation
by: Chang, Xiang-Ke, et al.
Published: (2025)
by: Chang, Xiang-Ke, et al.
Published: (2025)
Spectral spacetime-geometry of Womersley flow
by: Saqr, Khalid M.
Published: (2025)
by: Saqr, Khalid M.
Published: (2025)
Classification of 1+0 two-dimensional Hamiltonian operators
by: Rizzo, Alessandra
Published: (2024)
by: Rizzo, Alessandra
Published: (2024)
Negative Hierarchy of Hydrodynamic Type Equations
by: Zheltukhin, Kostyantyn
Published: (2026)
by: Zheltukhin, Kostyantyn
Published: (2026)
General Zakharov-Shabat equations without Lax operators
by: Noumi, Masatoshi, et al.
Published: (2025)
by: Noumi, Masatoshi, et al.
Published: (2025)
Skew Plücker Relations
by: Aokage, Kazuya, et al.
Published: (2025)
by: Aokage, Kazuya, et al.
Published: (2025)
Long time asymptotics for the KPII equation
by: Wu, Derchyi
Published: (2025)
by: Wu, Derchyi
Published: (2025)
Stability of Kadomtsev-Petviashvili multi-line solitons
by: Wu, Derchyi
Published: (2022)
by: Wu, Derchyi
Published: (2022)
The inverse scattering theory of Kadomtsev-Petviashvili II equations
by: Wu, Derchyi
Published: (2024)
by: Wu, Derchyi
Published: (2024)
Conservation laws for a generalized seventh order KdV equation
by: Bruzón, María de los Santos, et al.
Published: (2024)
by: Bruzón, María de los Santos, et al.
Published: (2024)
On the non-chiral intermediate long wave equation
by: Berntson, Bjorn K., et al.
Published: (2020)
by: Berntson, Bjorn K., et al.
Published: (2020)
Finite-time blow-up of two $(1+1)$D systems rigorously derived from the 3D axisymmetric Euler equations
by: Shi, Yaoming
Published: (2026)
by: Shi, Yaoming
Published: (2026)
Analyzing the relationship between infinite symmetries and $N$-soliton solutions in the AKNS system
by: Hao, Xiazhi, et al.
Published: (2025)
by: Hao, Xiazhi, et al.
Published: (2025)
The tau functions of the constrained CKP hierarchy
by: Chen, Danqi, et al.
Published: (2026)
by: Chen, Danqi, et al.
Published: (2026)
Matrix Lax pairs under the gauge equivalence relation induced by the gauge group action and Miura-type transformations for lattice equations
by: Igonin, Sergei
Published: (2024)
by: Igonin, Sergei
Published: (2024)
The gauge action on semi-discrete Lax representations and its invariants
by: Igonin, Sergei
Published: (2026)
by: Igonin, Sergei
Published: (2026)
Principle of structural analogy of solutions and its application to nonlinear PDEs and delay PDEs
by: Polyanin, Andrei D.
Published: (2024)
by: Polyanin, Andrei D.
Published: (2024)
Well-posed Cauchy problem and the Hamiltonian form of (2+1) nonlinear equations integrable by inverse scattering transform
by: Nizhnik, Leonid
Published: (2024)
by: Nizhnik, Leonid
Published: (2024)
Toda Darboux transformations and vacuum expectation values
by: Wang, Chengwei, et al.
Published: (2024)
by: Wang, Chengwei, et al.
Published: (2024)
Lax structure and tau function for large BKP hierarchy
by: Guan, Wenchuang, et al.
Published: (2024)
by: Guan, Wenchuang, et al.
Published: (2024)
The Modified Toda Hierarchy
by: Rui, Wenjuan, et al.
Published: (2024)
by: Rui, Wenjuan, et al.
Published: (2024)
3D-consistency of negative flows
by: Adler, V. E.
Published: (2024)
by: Adler, V. E.
Published: (2024)
Frölicher-Nijenhuis geometry and integrable matrix PDE systems
by: Müller-Hoissen, Folkert
Published: (2024)
by: Müller-Hoissen, Folkert
Published: (2024)
Similar Items
-
Lie symmetries, closed-form solutions, and conservation laws of a constitutive equation modeling stress in elastic materials
by: Naz, Rehana, et al.
Published: (2024) -
Swirling fluid flow in flexible, expandable elastic tubes: variational approach, reductions and integrability
by: Ivanov, Rossen, et al.
Published: (2019) -
Nonlocal conservation laws of the constant astigmatism equation
by: Hlaváč, Adam, et al.
Published: (2016) -
On the prolongation of a local hydrodynamic-type Hamiltonian operator to a nonlocal one
by: Opanasenko, Stanislav, et al.
Published: (2024) -
Using Symmetries to Investigate the Complete Integrability, Solitary Wave Solutions and Solitons of the Gardner Equation
by: Hereman, Willy, et al.
Published: (2024)