Judul: Efektivitas Amelioran Abu Vulkanik Merapi dalam Mengubah Sifat Kimia Tanah Ultisol dan Pertumbuhan Kedelai
Abstrak: Penelitian ini bertujuan mempelajari pengaruh abu vulkanik Merapi pada perubahan sifat kimia tanah Ultisol serta pada pertumbuhan dan produksi kedelai. Kandungan abu vulkanik yang sebagian besar berupa mineral cepat lapuk seperti volkan kaca, labradorit, augit, bitownit, hiperstin, dan hornblende dengan komposisi total unsur tertinggi meliputi Ca, Na, K, dan Mg berpotensi menambah cadangan mineral, memperkaya susunan kimia dan memperbaiki sifat fisik tanah. Abu ini diaplikasikan pada jenis tanah Ultisol yang kurang subur. Pada penelitian ini, amelioran abu vulkanik ditambahkan pada tanah dengan dosis 0; 2.5; 5; 10; 20; dan 40 t/ha. Hasil penelitian menunjukkan bahwa penambahan abu vulkanik Merapi tidak meningkatkan pH tanah. Namun, semakin tinggi dosis abu vulkanik yang ditambahkan, semakin tinggi pula Nilai Tukar Kation (K, Ca, dan Mg) dan Kapasitas Tukar Kation tanah. Selain itu, abu vulkanik dapat menurunkan kemasaman (Aldd dan Hdd) pada tanah Ultisol. Analisis jaringan tanaman menunjukkan bahwa sebagian besar hara N, P, dan K terdapat pada biji kedelai, sedangkan Ca dan Mg sebagian besar terdapat pada daun dengan serapan hara tertinggi pada dosis 20 t/ha. Penambahan abu vulkanik Merapi dapat meningkatkan tinggi tanaman, jumlah daun, dan hasil kedelai dengan dosis terbaik 20 t/ha.
Keyword: Volcanic ash, Ultisol soil, citation  exchange capacity, soybean

Judul: Efektivitas Amelioran Abu Vulkanik Merapi dalam Mengubah Sifat Kimia Tanah Ultisol dan Pertumbuhan Kedelai
Abstrak: This research was carried out to study the effect of Merapi volcanic ash in improving chemical properties of Ultisol soil and its influence on the growth and production of soybean. The volcanic ash largely consist of minerals, such as glass volkan, labradorite, augite, bitownite, hiperstine, and hornblende with high total composition elements including Ca, Na, K and Mg that are potential to increase reserves of minerals, enrich chemical composition and physical properties of soil. The volcano ash was given on the Ultisol soil which is infertile. In this work, amelioran volcanic ash was applied at dosage of 0; 2.5; 5; 10; 20; and 40 t/ha. The result showed that the addition of Merapi volcanic ash did not increase the soil pH. However, the higher the dose of the applied volcanic ash the higher the value of Cation Exchange (K, Ca, and Mg) and Cation Exchange Capacity gained. In addition, the volcanic ash can reduce the acidity (Aldd and Hdd) of Ultisol soil. Plant tissue analysis showed that most of the N, P, and K nutrients were present in soybeans, while most of the Ca and Mg were in the leaves with the highest nutrient uptake in a dose of 20 t/ha. Merapi volcanic ash application can increase plant height, leaf number, and soybean yields with the best dose of 20 t/ha.
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Judul: Hamiltonian formulation for linear waves motion in two layers fluid
Abstrak: The surface wave could be considered as a wave that separates two fluids, namely water and air. Based on this assumption, it is introduced the interfacial wave, a wave between two layers of fluid with different density. The formulation of interfacial waves motion begins with deriving the base equation of irrotational ideal fluid. Furthermore, according to irrotational fluid assumption, the base equation can be stated in velocity potential. In this derivation, the fluids domain is assumed to be restricted by rigid lid boundary conditions, both at the upper and lower limit. Therefore, the interfacial waves motion can be explained in a hamiltonian formulation. In the hamiltonian formulation, total energy is defined as the sum of kinetic and potential energy. The hamiltonian system is obtained from reduction of kinetic energy by using the Dirichlet Neumann Operator. The resulted kinetic energy equation is nonlinear. Therefore, this form is linearized by first part of the Taylor expansion. This linearization gives a dispersion relation of linear wave. Based on this dispersion relation, the phase speed of the linear wave depends on the density ratio of the two layers fluid.
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