Climate data from the southwest coast of the Caspian Sea (CS) were statistically analysed to find connections with large‐scale atmospheric variabilities and regional impacts. The study area is characterized by a subtropical humid climate. This enclave of high precipitation is extremely important for Iranian food production and is recognized for its high biodiversity.The data sets were investigated for inconsistencies before carrying out the main investigations, and several problems have been identified. The results show three distinct climatic periods in the temperature time series since 1956: 1956 to 1975 with values near to the overall mean, 1977 to 1995 with values lower by 0.5 °C and from 1996 to 2010 with values higher by 0.5 °C. These periods can be positively correlated with rapid sea level changes of the CS. Moreover, an agreement exists between the three climatic periods and the North Atlantic Oscillation (NAO) variability. The sea surface temperature of the southern CS is shown to be the driving force of the 2 m temperatures in the study area. While temperature changes are in accordance with NAO variability, the precipitation variations show connections with ENSO and less with NAO. The trends of precipitation during the period are diverse but display mostly a weak decrease, while the trends of temperature display a clear increase, larger than that for global mean temperatures, overlaid with inter‐decadal variations.

Newly available time series of 10‐m winds over last 60 years in the South Caspian Sea (CS) region show a remarkable shift in wind speed in 1995, that is also the year of maximum elevation of the Caspian Sea level (CSL). Our aim is to find the mechanisms linking these two features. This change is not only seen in the wind observations along the Southern CS coast, but also in the European Centre for Medium‐Range Weather Forecasts (ECMWF) reanalysis covering the Southern CS, leading there to an increase of evaporation after 1995. Due to wind increase, evaporation increases but does not lead to enhanced precipitation over the CS catchment area, the water seems to be lost to the east of the drainage basin for the water budget of the CS after 1995. This stopped the CSL rise and caused its post‐1995 fall. The connection between the wind speed and the trend of the CSL can also be seen for the 1977 low stand. Before 1977, the CSL was slightly dropping with relatively strong wind, then the wind speed fell and the CSL started to rise. The change of the wind seems to be induced by a teleconnection from El Niño‐Southern oscillation (ENSO). It is shown that ENSO impact is much stronger than that of North Atlantic oscillation (NAO), not only for the change of the CSL, but also for several key components of the CS water budget, like the Volga river discharge and wind speed. The wind speed is induced by ENSO, which is demonstrated by a shift of the jet stream over the CS area. This could be an explanative link between ENSO and CSL variability, but still needs further understanding. The NAO has a similar impact but to a lesser degree. When NAO and ENSO are working in the same direction, the CSL change is enhanced like from 1990 to 1995.

This paper aimed at obtaining the traveling-wave solution of the nonlinear time fractional regularized long-wave equation. In this approach, firstly, the time fractional derivative is accomplished using a finite difference with convergence order $ \mathcal{O}(\delta t^{2-\alpha}) $ for $ 0 < \alpha< 1 $ and the nonlinear term is linearized by a linearization technique. Then, the spatial terms are approximated with the help of the radial basis function (RBF). Numerical stability of the method is analyzed by applying the Von-Neumann linear stability analysis. Three invariant quantities corresponding to mass, momentum and energy are evaluated for further validation. Numerical results demonstrate the accuracy and validity of the proposed method.