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Sardar subequation approach, which is one of the strong methods for solving nonlinear evolution equations, is applied to conformable resonant Schrödinger’s equation. In this technique, if we choose the special values of parameters, then we can acquire the travelling wave solutions. We conclude that these solutions are the solutions obtained by the first integral method, the trial equation method, and the functional variable method. Several new traveling wave solutions are obtained including generalized hyperbolic and trigonometric functions. The new derivation is of conformable derivation introduced by Atangana recently. Solutions are illustrated with some figures.

Energy crises are currently the main challenges for human life. Promising solutions are expected from research on novel materials with a wide range of functional benefits. The new family of materials, known as metal–organic frameworks (MOFs), with coordination bonds between a metal and organic matter as the center atom and ligand, respectively, are an exciting class of such functional materials. MOFs represent inorganic–organic hybrids of crystals, making them beneficial for different applications. In the past few years, several attempts have been made to modify pristine MOFs and achieve better characteristics, including a larger surface area, greater availability of active sites, highly stable materials, and improved transport and diffusion of mass. The present review summarizes MOFs containing vanadium and manganese, including multi-metallic materials, composites, and derivatives. It focuses on the structure, porosity, and stability and their impact on energy storage and conversion applications. Each MOF type containing vanadium and manganese is examined to highlight the association of porous structures and characteristics. This review will further provide a deep understanding and transparent insights into the functions of MOFs and their suitability for certain applications. Other interested researchers are recommended to examine material optimization and synthesis of various vanadium and manganese-based MOFs that are more stable while also showing higher capacity. Vanadium and manganese-MOFs have many different oxidation states that are useful for energy-related applications, and their comprehensive review in comparison with other first row transition metals has not been carried out yet. [ABSTRACT FROM AUTHOR]

Designing low-dimensional nanomaterials is vital to address the energy and environmental crisis by means of electrocatalytic conversion reactions. Bimetallenes, as an emerging class of 2D materials, present promise for electrocatalytic conversion reactions. By leveraging atomically thin layers, bimetallenes present unsaturated surface coordination, high specific surface area and high conductivity, which are all indispensable features for heterogeneous electrochemical reactions. However, the intrinsic activity and stability of bimetallenes needs to be improved further for bimetallene electrocatalysts, due to the higher demands of practical applications. Recently, many strategies have been developed to optimize the chemical or electronic structure to accommodate transfer of reactants, adsorption or desorption of intermediates, and dissociation of products. Considering that most such work focuses on adjusting the structure, this review offers in-depth insight into recent representative strategies for optimizing bimetallene electrocatalysts, mainly including alloying, strain effects, ligand effects, defects and heteroatom doping. Moreover, by summarizing the performance of bimetallenes optimized using various strategies, we provide a means to understand structure–property relationships. In addition, future prospects and challenges are discussed for further development of bimetallene electrocatalysts. [ABSTRACT FROM AUTHOR]

Water‐splitting reactions such as the hydrogen evolution reaction (HER) and the oxygen evolution reaction (OER) typically require expensive noble metal‐based electrocatalysts. This has motivated researchers to develop novel, cost‐effective electrocatalytic systems. In this study, a new multicomponent nanocomposite was assembled by combining functionalized multiwalled carbon nanotubes, a Cu‐based metal–organic framework (MOF) (HKUST‐1 or HK), and a sulfidized NiMn‐layered double hydroxide (NiMn‐S). The resulting nanocomposite, abbreviated as MW/HK/NiMn‐S, features a unique architecture, high porosity, numerous electroactive Cu/Ni/Mn sites, fast charge transfer, excellent structural stability, and conductivity. At a current density of 10 mA cm−2, this dual‐function electrocatalyst shows remarkable performance, with ultralow overpotential values of 163 mV (OER) or 73 mV (HER), as well as low Tafel slopes (57 and 75 mV dec−1, respectively). Additionally, its high turnover frequency values (4.43 s−1 for OER; 3.96 s−1 for HER) are significantly superior to those of standard noble metal‐based Pt/C and IrO2 systems. The synergistic effect of the nanocomposite's different components is responsible for its enhanced electrocatalytic performance. A density functional theory study revealed that the multi‐interface and multicomponent heterostructure contribute to increased electrical conductivity and decreased energy barrier, resulting in superior electrocatalytic HER/OER activity. This study presents a novel vision for designing advanced electrocatalysts with superior performance in water splitting. Various composites have been utilized in water‐splitting applications. This study investigates the use of the MW/HK/NiMn‐S electrocatalyst for water splitting for the first time to indicate the synergistic effect between carbon‐based materials along with layered double hydroxide compounds and porous compounds of MOF. The unique features of each component in this composite can be an interesting topic in the field of water splitting. [ABSTRACT FROM AUTHOR]