Approach in Theory of Nonlinear Evolution Equations: The Vakhnenko-Parkes Equation by V. O. Vakhnenko, E. J. Parkes

“…A Bäcklund transformation for the VPE is used to construct conservation laws. The standard IST method for third-order spectral problems is used to investigate solutions corresponding to bound states of the spectrum and to a continuous spectrum. …”
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Reducing Nitrogen Waste: Factors Influencing Neem‐Coated Urea Adoption in Bhutan by Toritseju Begho, Tashi Dorji, Sonam Dendup

“…ABSTRACT In Bhutan, farmers face constraints due to limited arable land, prompting a need to increase agricultural production per unit of inputs, but in the most sustainable way given the nation’s most stringent environmental conservation laws. This study investigates the factors influencing the adoption of an enhanced‐efficiency fertiliser, that is, neem‐coated urea (NCU). …”
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Fractional Theoretical Model for Gravity Waves and Squall Line in Complex Atmospheric Motion by Liguo Chen, Liangui Yang

“…By obtaining the exact solution and the conservation laws, the fission properties of algebraic gravity solitary waves are discussed. …”
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On quasi-integrable deformation scheme of the KdV system by Kumar Abhinav, Partha Guha

“…The standard abelianization process based on the inherent sl(2) loop algebra leads to an infinite number of anomalous conservation laws, that yield conserved charges for definite space-time parity of the solution. …”
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On-shell approach to black hole mergers by Katsuki Aoki, Andrea Cristofoli, Yu-tin Huang

“…Using the Kosower-Maybee-O’Connell (KMOC) formalism, we then reproduce the classical conservation laws for momentum and angular momentum after the merger. …”
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MHD flow of Williamson nanofluid using effective similarity variable considering viscous dissipation and thermal radiation over a non-linear stretching surface via OHAM by Muhammad Awais Sherani, Muhammad Sohail, Ibrahim Mahariq, Syed Tehseen Abbas

“…This evaluation goes beyond the localized impacts usually taken into account in each linear and non-linear stretching scenario, and instead focuses on global impact of the not Newtonian Williamson fluid factor. The conservation laws of mass, momentum, and energy which are represented as partial differential equations form the foundation of the mathematical model. …”
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Significance of Nonsimilar Numerical Simulations in Forced Convection from Stretching Cylinder Subjected to External Magnetized Flow of Sisko Fluid by Jifeng Cui, Umer Farooq, Ahmed Jan, Murtada K. Elbashir, Waseem Asghar Khan, Mogtaba Mohammed, Ziyad Ali Alhussain, Jamshaid Ul Rahman

“…The governing equations for axisymmetric flow that include the mass balance, x-momentum, and heat equation are modeled through conservation laws. The dimensionless system is developed by employing appropriate nonsimilar transformations. …”
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On Cattaneo-Chrystov heat flux model for nanofluid flow on Darcy–Forchheimer porous medium past unsteady stretching cylinder by Sreedhar Sobhanapuram, S.V.V Rama Devi, Charankumar Ganteda, Rajyalakshmi Kottapalli, Vediyappan Govindan, Haewon Byeon, Busayamas Pimpunchat

“…The governing boundary evaluates issue of the flow regime is formulated utilizing the conservation laws of mass, momentum, energy. A couple of nonlinear partial differential constitutions are used to express the flow. …”
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OSPREI: A Coupled Approach to Modeling CME‐Driven Space Weather With Automatically Generated, User‐Friendly Outputs by C. Kay, M. L. Mays, Y. M. Collado‐Vega

“…Second, ANother Type of Ensemble Arrival Time Results simulates the propagation, including expansion and deformation, of a CME in interplanetary space and determines the evolution of internal properties via conservation laws. Finally, ForeCAT In situ Data Observer produces in situ profiles for a CME's interaction with a synthetic spacecraft. …”
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Exploring household water conservation behaviors in Saudi Arabia: A structural equation modeling approach by Abdulaziz I. Almulhim, Ismaila Rimi Abubakar

“…Participants indicate their support for public awareness campaigns for promoting water conservation, but they showed resistance to the idea of raising water tariffs (λ = 0.435) and implementing water conservation laws with fines for violators (λ = 0.318) as water conservation policies. …”
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