Judul: The Effect of Providing Several Types of Foliar Fertilizer on the Growth and Productivity of Edamame
Abstrak: Edamame dikenal sebagai kultivar kedelai (Glycine max (L) Merrill) Jepang dengan ukuran biji yang besar. Wilayah Pegunungan Indonesia dari segi kondisi lingkungan cukup mendukung untuk pembudidayaan edamame. Hal tersebut tentu harus didukung dengan penentuan jenis pupuk, dosis pupuk, metode pemupukan, waktu dan frekuensi pemupukan yang efektif dan efisien. Pemupukan melalui daun dilakukan sebagai pelengkap dari pemupukan yang dilakukan melalui tanah dekat perakaran dengan tujuan pemenuhan unsur hara tanaman. Penelitian ini bertujuan membandingkan pengaruh penggunaan beberapa jenis pupuk daun terhadap pertumbuhan dan produksi edamame. Penelitian dilaksanakan di lapangan dengan Rancangan Acak Kelompok satu faktor yaitu jenis pupuk daun. Terdapat 7 perlakuan pupuk daun dengan 3 ulangan sehingga total 21 satuan percobaan. Analisis ragam memberikan hasil berbeda nyata pada parameter tinggi tanaman pada usia 21, 28, 35 dan 49 hari setelah tanam, namun tidak berbeda nyata pada parameter jumlah daun, jumlah ketiak daun, jumlah bintil akar, bobot brangkasan, jumlah polong pertanaman, produksi polong, kadar hara (N, P dan K), serapan hara (N, P dan K) dan kualitas. Berdasarkan hasil tersebut dapat disimpulkan bahwa pemberian beberapa jenis pupuk daun tidak memberikan pengaruh yang nyata terhadap pertumbuhan dan produksi edamame. Produksi polong relatif tertinggi pada perlakuan pupuk daun Trubus, kristalon hijau, MgSO4 dan ZK (P2), namun dari segi kualitas perlakuan pupuk daun Trubus, kristalon hijau, MgSO4 dan MKP (P1) menghasilkan kualitas ekspor yang relatif lebih tinggi, Edamame is a Japanese soy bean (Glycine max (L) Merrill) cultivar with big pods. Mountainous area of Indonesia has environmental conditions that can support edamame cultivation. This potential, however, should be supported with determination type, dosage, method, time and frequency of fertilizer for effective and efficient fertilization. Fertilization through foliar application done as complement from fertilization through the soil to fulfill in particular, micronutrients. This research was aimed to compare the effect of types of foliar fertilizer to the growth and production of edamame. The research was conducted in field in randomized block design of one factor, that is seven types of foliar fertilizer and three replications, resulted in 21 experimental units. Analysis of variance indicated significant effect to plant high at 21, 28, 35 and 49 days after planting, but no significant effects to number of leaves, number of leaf axils, number of root nodules, weight of above ground biomass, number of pods, pod production, nutrients levels, uptake (N, P, and K) and quality. Overall it can be concluded that the complementary foliar fertilization gave no significant effect to the growth and production of edamame in the study area. Pods production relatively highest at foliar fertilizer treatment of trubus, kristalon hijau, MgSO4 and ZK (P2), but the best quality of edamame at foliar fertilizer treatment of trubus, kristalon hijau, MgSO4 and MKP (P1)
Keyword: soybeans, micro nutrients, spray ferlitizer., Fertilization efficiency

Judul: Evaluation of the Effect of Several Types and Dosage of NPK Compound Fertilizer on Edamame Growth and Productivity
Abstrak: Edamame memiliki berbagai keunggulan seperti ukuran polong dan biji lebih besar, kandungan gizi serta produktivitas yang lebih tinggi dibandingkan kedelai biasa. Selain itu, edamame memiliki peluang pasar dengan permintaan ekspor maupun lokal yang tinggi. Sehingga untuk memenuhi kebutuhan tersebut perlu memperhatikan kecukupan hara melalui pemupukan. Penggunaan jenis dan dosis pupuk NPK secara tepat diharapkan dapat meningkatkan pertumbuhan dan produktivitas edamame. Rancangan percobaan yang digunakan adalah Rancangan Acak kelompok Faktorial dengan dua faktor. Faktor pertama adalah jenis pupuk NPK yaitu NPK (15-15-15) Phonska Plus (J1), NPK (15-15-15) Kebomas (J2), dan NPK (21-7-12) KMAJ (J3). Faktor kedua adalah dosis pupuk yang terdiri dari tiga taraf yaitu 300 kg/ha (D1), 350 kg/ha (D2), dan 400 kg/ha (D3). Perlakuan jenis pupuk, dosis pupuk serta interaksi keduanya tidak berpengaruh nyata terhadap pertumbuhan dan produktivitas edamame. Perlakuan J3D2 memiliki pertumbuhan dan produktivitas lebih baik dibandingkan dengan perlakuan pupuk lainnya. Pemberian berbagai dosis pupuk NPK dan interaksi antara jenis pupuk dan dosis pupuk berpengaruh sangat nyata terhadap serapan hara N dan P tanaman edamame. Perlakuan kombinasi jenis pupuk NPK (15-15-15) Phonska Plus dengan dosis pupuk 400 kg/ha memberikan hasil serapan hara N, P, dan K total tanaman edamame tertinggi dibandingkan dengan perlakuan lainnya., Edamame has various advantages, such as larger pod and seed sizes, nutritional content, and higher productivity compared to ordinary soybeans. Apart from that, edamame has a market opportunity with high exports and local demand. So to meet these needs, it is necessary to pay attention to nutrient adequacy through fertilization. Using the right type and dose of NPK fertilizer is expected to increase the growth and productivity of edamame. The experimental design used was a factorial randomized block design with two factors. The first factor is the type of NPK fertilizer, namely NPK (15-15-15) Phonska Plus (J1), NPK (15-15-15) Kebomas (J2), and NPK (21-7-12) KMAJ (J3). The second factor is the fertilizer dosage, which consists of three levels: 300 kg/ha (D1), 350 kg/ha (D2), and 400 kg/ha (D3). The type of fertilizer, fertilizer dose, and interaction between the two did not have a significant effect on the growth and productivity of edamame. The J3D2 treatment had better growth and productivity compared to other fertilizer treatments. The administration of various doses of NPK fertilizer and the interaction between the type of fertilizer and the fertilizer dose had a very significant effect on the N and P nutrient uptake of edamame plants. The combination treatment of NPK (15-15-15) Phonska Plus fertilizer with a fertilizer dose of 400 kg/ha gave the highest total N, P, and K nutrient uptake of edamame plants compared to other treatments.
Keyword: Glycine max (L) Merrill, Pupuk NPK, Dosis pupuk

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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